2042372541456 has 135 divisors (see below), whose sum is σ = 6189980938167. Its totient is φ = 628353722880.

The previous prime is 2042372541401. The next prime is 2042372541493. The reversal of 2042372541456 is 6541452732402.

The square root of 2042372541456 is 1429116.

It is a perfect power (a square), and thus also a powerful number.

2042372541456 is a `hidden beast` number, since 20 + 4 + 2 + 37 + 2 + 541 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 577265648400 + 1465106893056 = 759780^2 + 1210416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222937516 + ... + 222946676.

Almost surely, 2^{2042372541456} is an apocalyptic number.

2042372541456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2042372541456 is the 1429116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042372541456

2042372541456 is an abundant number, since it is smaller than the sum of its proper divisors (4147608396711).

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

2042372541456 is an frugal number, since it uses more digits than its factorization.

2042372541456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18362 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2042372541456 in words is "two trillion, forty-two billion, three hundred seventy-two million, five hundred forty-one thousand, four hundred fifty-six".