40383624864 has 96 divisors (see below), whose sum is σ = 116021638656. Its totient is φ = 12197502720.

The previous prime is 40383624847. The next prime is 40383624907. The reversal of 40383624864 is 46842638304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261909 + ... + 386475.

It is an arithmetic number, because the mean of its divisors is an integer number (1208558736).

Almost surely, 2^40383624864 is an apocalyptic number.

40383624864 is a gapful number since it is divisible by the number (44) 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 40383624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58010819328).

40383624864 is an abundant number, since it is smaller than the sum of its proper divisors (75638013792).

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

40383624864 is a wasteful number, since it uses less digits than its factorization.

40383624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124898 (or 124890 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 40383624864 in words is "forty billion, three hundred eighty-three million, six hundred twenty-four thousand, eight hundred sixty-four".