42715712894400 has 3024 divisors, whose sum is σ = 198186563248128. Its totient is φ = 8531288064000.

The previous prime is 42715712894303. The next prime is 42715712894471. The reversal of 42715712894400 is 449821751724.

It is a happy number.

42715712894400 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 571 + 28 + 9 + 4 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 24820285540 + ... + 24820287260.

It is an arithmetic number, because the mean of its divisors is an integer number (65537884672).

Almost surely, 2^{42715712894400} is an apocalyptic number.

42715712894400 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 42715712894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99093281624064).

42715712894400 is an abundant number, since it is smaller than the sum of its proper divisors (155470850353728).

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

42715712894400 is a wasteful number, since it uses less digits than its factorization.

42715712894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 42715712894400 in words is "forty-two trillion, seven hundred fifteen billion, seven hundred twelve million, eight hundred ninety-four thousand, four hundred".