20454434372400 has 240 divisors, whose sum is σ = 75454338018048. Its totient is φ = 4639609728000.

The previous prime is 20454434372381. The next prime is 20454434372401. The reversal of 20454434372400 is 427343445402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20454434372401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8193691 + ... + 10394490.

Almost surely, 2^{20454434372400} is an apocalyptic number.

20454434372400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20454434372400 is an abundant number, since it is smaller than the sum of its proper divisors (54999903645648).

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

20454434372400 is a wasteful number, since it uses less digits than its factorization.

20454434372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18588340 (or 18588329 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 42.

The spelling of 20454434372400 in words is "twenty trillion, four hundred fifty-four billion, four hundred thirty-four million, three hundred seventy-two thousand, four hundred".