42914817792000 has 2304 divisors, whose sum is σ = 201347887104000. Its totient is φ = 8916590592000.

The previous prime is 42914817791977. The next prime is 42914817792019. The reversal of 42914817792000 is 29771841924.

42914817792000 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 481 + 77 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×42914817792000² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3725562241 + ... + 3725573759.

It is an arithmetic number, because the mean of its divisors is an integer number (87390576000).

Almost surely, 2^{42914817792000} is an apocalyptic number.

42914817792000 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 42914817792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673943552000).

42914817792000 is an abundant number, since it is smaller than the sum of its proper divisors (158433069312000).

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

42914817792000 is a wasteful number, since it uses less digits than its factorization.

42914817792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 42914817792000 in words is "forty-two trillion, nine hundred fourteen billion, eight hundred seventeen million, seven hundred ninety-two thousand".