40113552240 has 400 divisors, whose sum is σ = 148026463200. Its totient is φ = 10032906240.

The previous prime is 40113552217. The next prime is 40113552251. The reversal of 40113552240 is 4225531104.

40113552240 is a `hidden beast` number, since 4 + 0 + 1 + 135 + 522 + 4 + 0 = 666.

It is a super-2 number, since 2×40113552240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49461435 + ... + 49462245.

It is an arithmetic number, because the mean of its divisors is an integer number (370066158).

Almost surely, 2^40113552240 is an apocalyptic number.

40113552240 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 40113552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74013231600).

40113552240 is an abundant number, since it is smaller than the sum of its proper divisors (107912910960).

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

40113552240 is a wasteful number, since it uses less digits than its factorization.

40113552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 40113552240 in words is "forty billion, one hundred thirteen million, five hundred fifty-two thousand, two hundred forty".