10012040062400 has 84 divisors (see below), whose sum is σ = 24641940700272. Its totient is φ = 4003830159360.

The previous prime is 10012040062399. The next prime is 10012040062439. The reversal of 10012040062400 is 426004021001.

It is a super-2 number, since 2×10012040062400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5748629 + ... + 7284971.

It is an arithmetic number, because the mean of its divisors is an integer number (293356436908).

Almost surely, 2^{10012040062400} is an apocalyptic number.

10012040062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012040062400 is an abundant number, since it is smaller than the sum of its proper divisors (14629900637872).

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

10012040062400 is a wasteful number, since it uses less digits than its factorization.

10012040062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540438 (or 1540423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10012040062400 its reverse (426004021001), we get a palindrome (10438044083401).

The spelling of 10012040062400 in words is "ten trillion, twelve billion, forty million, sixty-two thousand, four hundred".