42844400102560 has 192 divisors, whose sum is σ = 116788598986752. Its totient is φ = 14549388005376.

The previous prime is 42844400102521. The next prime is 42844400102587. The reversal of 42844400102560 is 6520100444824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48767334 + ... + 49638106.

It is an arithmetic number, because the mean of its divisors is an integer number (608273953056).

Almost surely, 2^{42844400102560} is an apocalyptic number.

42844400102560 is a gapful number since it is divisible by the number (40) 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 42844400102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394299493376).

42844400102560 is an abundant number, since it is smaller than the sum of its proper divisors (73944198884192).

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

42844400102560 is a wasteful number, since it uses less digits than its factorization.

42844400102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871215 (or 871207 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 42844400102560 in words is "forty-two trillion, eight hundred forty-four billion, four hundred million, one hundred two thousand, five hundred sixty".