40101888 has 96 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 13025280.

The previous prime is 40101881. The next prime is 40101889. The reversal of 40101888 is 88810104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40101888² = 3216322842329088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40101881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374731 + ... + 374837.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^40101888 is an apocalyptic number.

40101888 is a gapful number since it is divisible by the number (48) 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 40101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

40101888 is an abundant number, since it is smaller than the sum of its proper divisors (69578592).

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

40101888 is a wasteful number, since it uses less digits than its factorization.

40101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 40101888 is about 6332.6051511207. The cubic root of 40101888 is about 342.2853198499.

The spelling of 40101888 in words is "forty million, one hundred one thousand, eight hundred eighty-eight".