40622024400 has 120 divisors (see below), whose sum is σ = 130329497664. Its totient is φ = 10815590400.

The previous prime is 40622024389. The next prime is 40622024459. The reversal of 40622024400 is 442022604.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 750240 + ... + 802560.

Almost surely, 2^40622024400 is an apocalyptic number.

40622024400 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 40622024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65164748832).

40622024400 is an abundant number, since it is smaller than the sum of its proper divisors (89707473264).

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

40622024400 is a wasteful number, since it uses less digits than its factorization.

40622024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52989 (or 52978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 40622024400 in words is "forty billion, six hundred twenty-two million, twenty-four thousand, four hundred".