20312142432400 has 120 divisors (see below), whose sum is σ = 60061442807744. Its totient is φ = 6428458252800.

The previous prime is 20312142432367. The next prime is 20312142432427. The reversal of 20312142432400 is 423424121302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278976546 + ... + 279049345.

Almost surely, 2^{20312142432400} is an apocalyptic number.

20312142432400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312142432400 is an abundant number, since it is smaller than the sum of its proper divisors (39749300375344).

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

20312142432400 is a wasteful number, since it uses less digits than its factorization.

20312142432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558025929 (or 558025918 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20312142432400 its reverse (423424121302), we get a palindrome (20735566553702).

The spelling of 20312142432400 in words is "twenty trillion, three hundred twelve billion, one hundred forty-two million, four hundred thirty-two thousand, four hundred".