42520737472416 has 384 divisors, whose sum is σ = 147989907394560. Its totient is φ = 11613370070016.

The previous prime is 42520737472403. The next prime is 42520737472463. The reversal of 42520737472416 is 61427473702524.

42520737472416 is a `hidden beast` number, since 4 + 2 + 5 + 20 + 7 + 374 + 7 + 241 + 6 = 666.

42520737472416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226228270 + ... + 226416146.

It is an arithmetic number, because the mean of its divisors is an integer number (385390383840).

Almost surely, 2^{42520737472416} is an apocalyptic number.

42520737472416 is a gapful number since it is divisible by the number (46) 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 42520737472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73994953697280).

42520737472416 is an abundant number, since it is smaller than the sum of its proper divisors (105469169922144).

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

42520737472416 is a wasteful number, since it uses less digits than its factorization.

42520737472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189553 (or 189539 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 42520737472416 in words is "forty-two trillion, five hundred twenty billion, seven hundred thirty-seven million, four hundred seventy-two thousand, four hundred sixteen".