42047655674024 has 192 divisors, whose sum is σ = 107412359472000. Its totient is φ = 14983295708160.

The previous prime is 42047655673949. The next prime is 42047655674113.

42047655674024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9494582 + ... + 13200090.

It is an arithmetic number, because the mean of its divisors is an integer number (559439372250).

Almost surely, 2^{42047655674024} is an apocalyptic number.

42047655674024 is a gapful number since it is divisible by the number (44) 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 42047655674024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706179736000).

42047655674024 is an abundant number, since it is smaller than the sum of its proper divisors (65364703797976).

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

42047655674024 is a wasteful number, since it uses less digits than its factorization.

42047655674024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705668 (or 3705651 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 56.

It can be divided in two parts, 4204765 and 5674024, that added together give a palindrome (9878789).

The spelling of 42047655674024 in words is "forty-two trillion, forty-seven billion, six hundred fifty-five million, six hundred seventy-four thousand, twenty-four".