10242897638400 has 1320 divisors, whose sum is σ = 43607812849920. Its totient is φ = 2327129948160.

The previous prime is 10242897638399. The next prime is 10242897638411. The reversal of 10242897638400 is 483679824201.

10242897638400 is a `hidden beast` number, since 10 + 242 + 8 + 9 + 7 + 6 + 384 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2511127561 + ... + 2511131639.

It is an arithmetic number, because the mean of its divisors is an integer number (33036221856).

Almost surely, 2^{10242897638400} is an apocalyptic number.

10242897638400 is a gapful number since it is divisible by the number (10) 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 10242897638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21803906424960).

10242897638400 is an abundant number, since it is smaller than the sum of its proper divisors (33364915211520).

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

10242897638400 is a wasteful number, since it uses less digits than its factorization.

10242897638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10242897638400 in words is "ten trillion, two hundred forty-two billion, eight hundred ninety-seven million, six hundred thirty-eight thousand, four hundred".