40038512400 has 180 divisors, whose sum is σ = 139143485988. Its totient is φ = 10661667840.

The previous prime is 40038512377. The next prime is 40038512407. The reversal of 40038512400 is 421583004.

40038512400 is a `hidden beast` number, since 40 + 0 + 385 + 1 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6991635456 + 33046876944 = 83616^2 + 181788^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (40038512407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2631214 + ... + 2646386.

Almost surely, 2^40038512400 is an apocalyptic number.

40038512400 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 40038512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69571742994).

40038512400 is an abundant number, since it is smaller than the sum of its proper divisors (99104973588).

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

40038512400 is a wasteful number, since it uses less digits than its factorization.

40038512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40038512400 in words is "forty billion, thirty-eight million, five hundred twelve thousand, four hundred".