39040945920 has 288 divisors, whose sum is σ = 139174324800. Its totient is φ = 10363355136.

The previous prime is 39040945891. The next prime is 39040945949. The reversal of 39040945920 is 2954904093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39040945891) and next prime (39040945949).

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7911774 + ... + 7916706.

Almost surely, 2^39040945920 is an apocalyptic number.

39040945920 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 39040945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69587162400).

39040945920 is an abundant number, since it is smaller than the sum of its proper divisors (100133378880).

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

39040945920 is a wasteful number, since it uses less digits than its factorization.

39040945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 39040945920 in words is "thirty-nine billion, forty million, nine hundred forty-five thousand, nine hundred twenty".