20034311312400 has 480 divisors, whose sum is σ = 80361839846400. Its totient is φ = 4144790476800.

The previous prime is 20034311312369. The next prime is 20034311312413. The reversal of 20034311312400 is 421311343002.

It is a happy number.

It is a super-2 number, since 2×20034311312400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20686191 + ... + 21633009.

It is an arithmetic number, because the mean of its divisors is an integer number (167420499680).

Almost surely, 2^{20034311312400} is an apocalyptic number.

20034311312400 is a gapful number since it is divisible by the number (20) 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 20034311312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40180919923200).

20034311312400 is an abundant number, since it is smaller than the sum of its proper divisors (60327528534000).

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

20034311312400 is a wasteful number, since it uses less digits than its factorization.

20034311312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947087 (or 947076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20034311312400 its reverse (421311343002), we get a palindrome (20455622655402).

The spelling of 20034311312400 in words is "twenty trillion, thirty-four billion, three hundred eleven million, three hundred twelve thousand, four hundred".