356562536040 has 192 divisors, whose sum is σ = 1166075249040. Its totient is φ = 94489804800.

The previous prime is 356562536003. The next prime is 356562536047. The reversal of 356562536040 is 40635265653.

356562536040 is a `hidden beast` number, since 3 + 56 + 5 + 62 + 536 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2749324356 + 353813211684 = 52434^2 + 594822^2 .

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

It is not an unprimeable number, because it can be changed into a prime (356562536047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83443344 + ... + 83447616.

Almost surely, 2^356562536040 is an apocalyptic number.

356562536040 is a gapful number since it is divisible by the number (30) 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 356562536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583037624520).

356562536040 is an abundant number, since it is smaller than the sum of its proper divisors (809512713000).

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

356562536040 is a wasteful number, since it uses less digits than its factorization.

356562536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 356562536040 in words is "three hundred fifty-six billion, five hundred sixty-two million, five hundred thirty-six thousand, forty".