920742993302400 has 288 divisors, whose sum is σ = 3478682123420400. Its totient is φ = 231088437411840.

The previous prime is 920742993302381. The next prime is 920742993302401. The reversal of 920742993302400 is 4203399247029.

920742993302400 is a `hidden beast` number, since 9 + 2 + 0 + 7 + 4 + 299 + 3 + 302 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×920742993302400² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920742993302401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 939811660 + ... + 940790859.

Almost surely, 2^{920742993302400} is an apocalyptic number.

920742993302400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

920742993302400 is an abundant number, since it is smaller than the sum of its proper divisors (2557939130118000).

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

920742993302400 is a wasteful number, since it uses less digits than its factorization.

920742993302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880602566 (or 1880602546 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 920742993302400 in words is "nine hundred twenty trillion, seven hundred forty-two billion, nine hundred ninety-three million, three hundred two thousand, four hundred".