7404008040 has 512 divisors, whose sum is σ = 29262643200. Its totient is φ = 1641600000.

The previous prime is 7404008033. The next prime is 7404008047. The reversal of 7404008040 is 408004047.

It is an interprime number because it is at equal distance from previous prime (7404008033) and next prime (7404008047).

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

It is a junction number, because it is equal to n+sod(n) for n = 7404007995 and 7404008013.

It is not an unprimeable number, because it can be changed into a prime (7404008047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29497915 + ... + 29498165.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 2^7404008040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7404008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

7404008040 is an abundant number, since it is smaller than the sum of its proper divisors (21858635160).

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

7404008040 is a wasteful number, since it uses less digits than its factorization.

7404008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7404008040 is about 86046.5457761089. The cubic root of 7404008040 is about 1949.0469188638.

The spelling of 7404008040 in words is "seven billion, four hundred four million, eight thousand, forty".