1156639016340 has 144 divisors (see below), whose sum is σ = 3524458745808. Its totient is φ = 307034652672.

The previous prime is 1156639016317. The next prime is 1156639016359. The reversal of 1156639016340 is 436109366511.

1156639016340 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 3 + 9 + 0 + 1 + 634 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 102940872336 + 1053698144004 = 320844^2 + 1026498^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 37663872 + ... + 37694568.

It is an arithmetic number, because the mean of its divisors is an integer number (24475407957).

Almost surely, 2^{1156639016340} is an apocalyptic number.

1156639016340 is a gapful number since it is divisible by the number (10) 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 1156639016340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762229372904).

1156639016340 is an abundant number, since it is smaller than the sum of its proper divisors (2367819729468).

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

1156639016340 is a wasteful number, since it uses less digits than its factorization.

1156639016340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31658 (or 31653 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1156639016340 in words is "one trillion, one hundred fifty-six billion, six hundred thirty-nine million, sixteen thousand, three hundred forty".