2401408813100 has 36 divisors (see below), whose sum is σ = 5684789592888. Its totient is φ = 873239568000.

The previous prime is 2401408813081. The next prime is 2401408813117. The reversal of 2401408813100 is 13188041042.

It is a happy number.

It is a super-2 number, since 2×2401408813100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091548361 + ... + 1091550560.

Almost surely, 2^{2401408813100} is an apocalyptic number.

2401408813100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401408813100 is an abundant number, since it is smaller than the sum of its proper divisors (3283380779788).

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

2401408813100 is a wasteful number, since it uses less digits than its factorization.

2401408813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183098946 (or 2183098939 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 2401408813100 in words is "two trillion, four hundred one billion, four hundred eight million, eight hundred thirteen thousand, one hundred".