7472011004040 has 256 divisors, whose sum is σ = 24535739289600. Its totient is φ = 1805339289600.

The previous prime is 7472011003967. The next prime is 7472011004077. The reversal of 7472011004040 is 404001102747.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7472011003989 and 7472011004007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664586659 + ... + 664597901.

It is an arithmetic number, because the mean of its divisors is an integer number (95842731600).

Almost surely, 2^{7472011004040} 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 7472011004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267869644800).

7472011004040 is an abundant number, since it is smaller than the sum of its proper divisors (17063728285560).

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

7472011004040 is a wasteful number, since it uses less digits than its factorization.

7472011004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12908 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

Adding to 7472011004040 its reverse (404001102747), we get a palindrome (7876012106787).

The spelling of 7472011004040 in words is "seven trillion, four hundred seventy-two billion, eleven million, four thousand, forty".