40384874400 has 288 divisors, whose sum is σ = 141898417920. Its totient is φ = 9917460480.

The previous prime is 40384874389. The next prime is 40384874401. The reversal of 40384874400 is 447848304.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40384874401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15879529 + ... + 15882071.

It is an arithmetic number, because the mean of its divisors is an integer number (492702840).

Almost surely, 2^40384874400 is an apocalyptic number.

40384874400 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 40384874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70949208960).

40384874400 is an abundant number, since it is smaller than the sum of its proper divisors (101513543520).

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

40384874400 is a wasteful number, since it uses less digits than its factorization.

40384874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 40384874400 in words is "forty billion, three hundred eighty-four million, eight hundred seventy-four thousand, four hundred".