40021124400 has 270 divisors, whose sum is σ = 140338916172. Its totient is φ = 10561670400.

The previous prime is 40021124399. The next prime is 40021124431. The reversal of 40021124400 is 442112004.

40021124400 is a `hidden beast` number, since 400 + 21 + 1 + 244 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41215915 + ... + 41216885.

Almost surely, 2^40021124400 is an apocalyptic number.

40021124400 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 40021124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70169458086).

40021124400 is an abundant number, since it is smaller than the sum of its proper divisors (100317791772).

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

40021124400 is a wasteful number, since it uses less digits than its factorization.

40021124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40021124400 its reverse (442112004), we get a palindrome (40463236404).

The spelling of 40021124400 in words is "forty billion, twenty-one million, one hundred twenty-four thousand, four hundred".