40221002400 has 72 divisors (see below), whose sum is σ = 130919370624. Its totient is φ = 10725600000.

The previous prime is 40221002369. The next prime is 40221002413. The reversal of 40221002400 is 420012204.

40221002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40221002400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8376976 + ... + 8381775.

It is an arithmetic number, because the mean of its divisors is an integer number (1818324592).

Almost surely, 2^40221002400 is an apocalyptic number.

40221002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221002400 is an abundant number, since it is smaller than the sum of its proper divisors (90698368224).

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

40221002400 is a wasteful number, since it uses less digits than its factorization.

40221002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758774 (or 16758761 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40221002400 its reverse (420012204), we get a palindrome (40641014604).

The spelling of 40221002400 in words is "forty billion, two hundred twenty-one million, two thousand, four hundred".