40118270400 has 504 divisors, whose sum is σ = 157333669584. Its totient is φ = 9632563200.

The previous prime is 40118270399. The next prime is 40118270407. The reversal of 40118270400 is 407281104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40118270407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7672587 + ... + 7677813.

Almost surely, 2^40118270400 is an apocalyptic number.

40118270400 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 40118270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78666834792).

40118270400 is an abundant number, since it is smaller than the sum of its proper divisors (117215399184).

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

40118270400 is a wasteful number, since it uses less digits than its factorization.

40118270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 40118270400 in words is "forty billion, one hundred eighteen million, two hundred seventy thousand, four hundred".