35872457040 has 420 divisors, whose sum is σ = 145475576244. Its totient is φ = 8198765568.

The previous prime is 35872456981. The next prime is 35872457063. The reversal of 35872457040 is 4075427853.

35872457040 is a `hidden beast` number, since 3 + 5 + 8 + 72 + 4 + 570 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27914389776 + 7958067264 = 167076^2 + 89208^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 83 ways as a sum of consecutive naturals, for example, 2851404 + ... + 2863956.

Almost surely, 2^35872457040 is an apocalyptic number.

35872457040 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 35872457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72737788122).

35872457040 is an abundant number, since it is smaller than the sum of its proper divisors (109603119204).

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

35872457040 is a wasteful number, since it uses less digits than its factorization.

35872457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 35872457040 in words is "thirty-five billion, eight hundred seventy-two million, four hundred fifty-seven thousand, forty".