42514293727152 has 420 divisors, whose sum is σ = 133824683337264. Its totient is φ = 13072206850560.

The previous prime is 42514293727069. The next prime is 42514293727181. The reversal of 42514293727152 is 25172739241524.

42514293727152 is a `hidden beast` number, since 4 + 2 + 514 + 2 + 9 + 3 + 7 + 2 + 71 + 52 = 666.

It is a super-2 number, since 2×42514293727152² (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 an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3167737402 + ... + 3167750822.

Almost surely, 2^{42514293727152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42514293727152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912341668632).

42514293727152 is an abundant number, since it is smaller than the sum of its proper divisors (91310389610112).

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

42514293727152 is a wasteful number, since it uses less digits than its factorization.

42514293727152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15046 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 42514293727152 in words is "forty-two trillion, five hundred fourteen billion, two hundred ninety-three million, seven hundred twenty-seven thousand, one hundred fifty-two".