39394045440 has 400 divisors, whose sum is σ = 145984718880. Its totient is φ = 10141286400.

The previous prime is 39394045421. The next prime is 39394045451. The reversal of 39394045440 is 4454049393.

39394045440 is a `hidden beast` number, since 39 + 39 + 40 + 4 + 544 + 0 = 666.

It is a super-2 number, since 2×39394045440² (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 6010165 + ... + 6016715.

Almost surely, 2^39394045440 is an apocalyptic number.

39394045440 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 39394045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72992359440).

39394045440 is an abundant number, since it is smaller than the sum of its proper divisors (106590673440).

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

39394045440 is an equidigital number, since it uses as much as digits as its factorization.

39394045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 39394045440 in words is "thirty-nine billion, three hundred ninety-four million, forty-five thousand, four hundred forty".