400100064000 has 1152 divisors, whose sum is σ = 1651358392320. Its totient is φ = 84105216000.

The previous prime is 400100063989. The next prime is 400100064019. The reversal of 400100064000 is 460001004.

It is a super-2 number, since 2×400100064000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 1476383865 + ... + 1476384135.

Almost surely, 2^400100064000 is an apocalyptic number.

400100064000 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 400100064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825679196160).

400100064000 is an abundant number, since it is smaller than the sum of its proper divisors (1251258328320).

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

400100064000 is an equidigital number, since it uses as much as digits as its factorization.

400100064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 400100064000 its reverse (460001004), we get a palindrome (400560065004).

The spelling of 400100064000 in words is "four hundred billion, one hundred million, sixty-four thousand".