40137270400 has 48 divisors (see below), whose sum is σ = 99151608690. Its totient is φ = 16054906880.

The previous prime is 40137270389. The next prime is 40137270401. The reversal of 40137270400 is 407273104.

It can be written as a sum of positive squares in 3 ways, for example, as 38582387776 + 1554882624 = 196424^2 + 39432^2 .

It is a super-2 number, since 2×40137270400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40137270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6268249 + ... + 6274648.

Almost surely, 2^40137270400 is an apocalyptic number.

40137270400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40137270400 is an abundant number, since it is smaller than the sum of its proper divisors (59014338290).

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

40137270400 is a wasteful number, since it uses less digits than its factorization.

40137270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542921 (or 12542904 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 40137270400 in words is "forty billion, one hundred thirty-seven million, two hundred seventy thousand, four hundred".