42614457470928 has 640 divisors, whose sum is σ = 150157189324800. Its totient is φ = 11308554436608.

The previous prime is 42614457470917. The next prime is 42614457470929. The reversal of 42614457470928 is 82907475441624.

42614457470928 is a `hidden beast` number, since 4 + 2 + 61 + 445 + 7 + 47 + 0 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614457470929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357507243 + ... + 357626421.

It is an arithmetic number, because the mean of its divisors is an integer number (234620608320).

Almost surely, 2^{42614457470928} is an apocalyptic number.

42614457470928 is a gapful number since it is divisible by the number (48) 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 42614457470928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75078594662400).

42614457470928 is an abundant number, since it is smaller than the sum of its proper divisors (107542731853872).

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

42614457470928 is a wasteful number, since it uses less digits than its factorization.

42614457470928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119376 (or 119364 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 42614457470928 in words is "forty-two trillion, six hundred fourteen billion, four hundred fifty-seven million, four hundred seventy thousand, nine hundred twenty-eight".