4101024400 has 60 divisors (see below), whose sum is σ = 10748423664. Its totient is φ = 1491280000.

The previous prime is 4101024377. The next prime is 4101024401. The reversal of 4101024400 is 44201014.

It is a super-2 number, since 2×4101024400² = 33636802258790720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4101024401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461626 + ... + 470425.

Almost surely, 2^4101024400 is an apocalyptic number.

4101024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101024400 is an abundant number, since it is smaller than the sum of its proper divisors (6647399264).

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

4101024400 is a wasteful number, since it uses less digits than its factorization.

4101024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932080 (or 932069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4101024400 is about 64039.2410948162. The cubic root of 4101024400 is about 1600.6539514308.

Adding to 4101024400 its reverse (44201014), we get a palindrome (4145225414).

The spelling of 4101024400 in words is "four billion, one hundred one million, twenty-four thousand, four hundred".