40100400 has 240 divisors, whose sum is σ = 147609600. Its totient is φ = 10333440.

The previous prime is 40100387. The next prime is 40100441. The reversal of 40100400 is 400104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507561 + ... + 507639.

It is an arithmetic number, because the mean of its divisors is an integer number (615040).

Almost surely, 2^40100400 is an apocalyptic number.

40100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

40100400 is an abundant number, since it is smaller than the sum of its proper divisors (107509200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40100400 is a wasteful number, since it uses less digits than its factorization.

40100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40100400 is about 6332.4876628384. The cubic root of 40100400 is about 342.2810862433.

Adding to 40100400 its reverse (400104), we get a palindrome (40500504).

The spelling of 40100400 in words is "forty million, one hundred thousand, four hundred".