40558378320 has 400 divisors, whose sum is σ = 149645274768. Its totient is φ = 10145710080.

The previous prime is 40558378261. The next prime is 40558378339. The reversal of 40558378320 is 2387385504.

40558378320 is a `hidden beast` number, since 4 + 0 + 558 + 3 + 78 + 3 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2862864 + 40555515456 = 1692^2 + 201384^2 .

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 79 ways as a sum of consecutive naturals, for example, 61358790 + ... + 61359450.

Almost surely, 2^40558378320 is an apocalyptic number.

40558378320 is a gapful number since it is divisible by the number (40) 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 40558378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74822637384).

40558378320 is an abundant number, since it is smaller than the sum of its proper divisors (109086896448).

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

40558378320 is a wasteful number, since it uses less digits than its factorization.

40558378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40558378320 in words is "forty billion, five hundred fifty-eight million, three hundred seventy-eight thousand, three hundred twenty".