4007732113440 has 240 divisors, whose sum is σ = 15429769185600. Its totient is φ = 971571386880.

The previous prime is 4007732113421. The next prime is 4007732113447. The reversal of 4007732113440 is 443112377004.

4007732113440 is a `hidden beast` number, since 4 + 0 + 0 + 77 + 32 + 113 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 4007732113395 and 4007732113404.

It is not an unprimeable number, because it can be changed into a prime (4007732113447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13913740 + ... + 14198859.

It is an arithmetic number, because the mean of its divisors is an integer number (64290704940).

Almost surely, 2^{4007732113440} is an apocalyptic number.

4007732113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007732113440 is an abundant number, since it is smaller than the sum of its proper divisors (11422037072160).

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

4007732113440 is a wasteful number, since it uses less digits than its factorization.

4007732113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28112637 (or 28112620 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 4007732113440 in words is "four trillion, seven billion, seven hundred thirty-two million, one hundred thirteen thousand, four hundred forty".