40397540400 has 720 divisors, whose sum is σ = 174585254400. Its totient is φ = 8829596160.

The previous prime is 40397540389. The next prime is 40397540437. The reversal of 40397540400 is 404579304.

40397540400 is a `hidden beast` number, since 40 + 39 + 7 + 540 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×40397540400² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 12169941 + ... + 12173259.

It is an arithmetic number, because the mean of its divisors is an integer number (242479520).

Almost surely, 2^40397540400 is an apocalyptic number.

40397540400 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 40397540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87292627200).

40397540400 is an abundant number, since it is smaller than the sum of its proper divisors (134187714000).

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

40397540400 is a wasteful number, since it uses less digits than its factorization.

40397540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40397540400 in words is "forty billion, three hundred ninety-seven million, five hundred forty thousand, four hundred".