4007376711040 has 32 divisors (see below), whose sum is σ = 9580134951360. Its totient is φ = 1602950684160.

The previous prime is 4007376711007. The next prime is 4007376711137. The reversal of 4007376711040 is 401176737004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4007376710984 and 4007376711002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3130762416 + ... + 3130763695.

It is an arithmetic number, because the mean of its divisors is an integer number (299379217230).

Almost surely, 2^{4007376711040} is an apocalyptic number.

4007376711040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007376711040 is an abundant number, since it is smaller than the sum of its proper divisors (5572758240320).

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

4007376711040 is an equidigital number, since it uses as much as digits as its factorization.

4007376711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261526130 (or 6261526118 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 4007376711040 in words is "four trillion, seven billion, three hundred seventy-six million, seven hundred eleven thousand, forty".