40352587776 has 392 divisors, whose sum is σ = 125704465380. Its totient is φ = 12931301376.

The previous prime is 40352587721. The next prime is 40352587783. The reversal of 40352587776 is 67778525304.

It is a happy number.

40352587776 is a `hidden beast` number, since 4 + 0 + 3 + 52 + 587 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39489638400 + 862949376 = 198720^2 + 29376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 173186956 + ... + 173187188.

Almost surely, 2^40352587776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40352587776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62852232690).

40352587776 is an abundant number, since it is smaller than the sum of its proper divisors (85351877604).

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

40352587776 is an frugal number, since it uses more digits than its factorization.

40352587776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 40352587776 in words is "forty billion, three hundred fifty-two million, five hundred eighty-seven thousand, seven hundred seventy-six".