40320836400 has 240 divisors, whose sum is σ = 139706120736. Its totient is φ = 9881640960.

The previous prime is 40320836383. The next prime is 40320836407. The reversal of 40320836400 is 463802304.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40320836407) 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, 3629254 + ... + 3640346.

Almost surely, 2^40320836400 is an apocalyptic number.

40320836400 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 40320836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69853060368).

40320836400 is an abundant number, since it is smaller than the sum of its proper divisors (99385284336).

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

40320836400 is a wasteful number, since it uses less digits than its factorization.

40320836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 40320836400 in words is "forty billion, three hundred twenty million, eight hundred thirty-six thousand, four hundred".