1041542713600 has 81 divisors (see below), whose sum is σ = 2578183056687. Its totient is φ = 416584427520.

The previous prime is 1041542713567. The next prime is 1041542713609. The reversal of 1041542713600 is 63172451401.

The square root of 1041542713600 is 1020560.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3947860224 + 1037594853376 = 62832^2 + 1018624^2 .

It is a super-2 number, since 2×1041542713600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041542713609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81638422 + ... + 81651178.

Almost surely, 2^{1041542713600} is an apocalyptic number.

1041542713600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041542713600 is the 1020560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041542713600

1041542713600 is an abundant number, since it is smaller than the sum of its proper divisors (1536640343087).

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

1041542713600 is an frugal number, since it uses more digits than its factorization.

1041542713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25540 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 1041542713600 in words is "one trillion, forty-one billion, five hundred forty-two million, seven hundred thirteen thousand, six hundred".