40090957200 has 1080 divisors, whose sum is σ = 177654957480. Its totient is φ = 8309145600.

The previous prime is 40090957187. The next prime is 40090957211. The reversal of 40090957200 is 275909004.

40090957200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8108642304 + 31982314896 = 90048^2 + 178836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86964970 + ... + 86965430.

It is an arithmetic number, because the mean of its divisors is an integer number (164495331).

Almost surely, 2^40090957200 is an apocalyptic number.

40090957200 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 40090957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88827478740).

40090957200 is an abundant number, since it is smaller than the sum of its proper divisors (137564000280).

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

40090957200 is a wasteful number, since it uses less digits than its factorization.

40090957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 40090957200 in words is "forty billion, ninety million, nine hundred fifty-seven thousand, two hundred".