40254553920 has 448 divisors, whose sum is σ = 149415008256. Its totient is φ = 8992235520.

The previous prime is 40254553919. The next prime is 40254553939. The reversal of 40254553920 is 2935545204.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×40254553920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116007187 + ... + 116007533.

Almost surely, 2^40254553920 is an apocalyptic number.

40254553920 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 40254553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707504128).

40254553920 is an abundant number, since it is smaller than the sum of its proper divisors (109160454336).

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

40254553920 is a wasteful number, since it uses less digits than its factorization.

40254553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 40254553920 in words is "forty billion, two hundred fifty-four million, five hundred fifty-three thousand, nine hundred twenty".