42954215915520 has 3360 divisors, whose sum is σ = 201345526008000. Its totient is φ = 8585874505728.

The previous prime is 42954215915509. The next prime is 42954215915521. The reversal of 42954215915520 is 2551951245924.

42954215915520 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 4 + 21 + 5 + 91 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×42954215915520² (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 not an unprimeable number, because it can be changed into a prime (42954215915521) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2260748206071 + ... + 2260748206089.

Almost surely, 2^{42954215915520} is an apocalyptic number.

42954215915520 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 42954215915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100672763004000).

42954215915520 is an abundant number, since it is smaller than the sum of its proper divisors (158391310092480).

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

42954215915520 is an frugal number, since it uses more digits than its factorization.

42954215915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 42954215915520 in words is "forty-two trillion, nine hundred fifty-four billion, two hundred fifteen million, nine hundred fifteen thousand, five hundred twenty".