1040315984640 has 216 divisors, whose sum is σ = 3811114183968. Its totient is φ = 261098864640.

The previous prime is 1040315984629. The next prime is 1040315984647. The reversal of 1040315984640 is 464895130401.

1040315984640 is a `hidden beast` number, since 10 + 4 + 0 + 3 + 1 + 598 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1040315984647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460196 + ... + 2851875.

It is an arithmetic number, because the mean of its divisors is an integer number (17644047148).

Almost surely, 2^{1040315984640} is an apocalyptic number.

1040315984640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040315984640 is an abundant number, since it is smaller than the sum of its proper divisors (2770798199328).

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

1040315984640 is a wasteful number, since it uses less digits than its factorization.

1040315984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312115 (or 5312098 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1040315984640 in words is "one trillion, forty billion, three hundred fifteen million, nine hundred eighty-four thousand, six hundred forty".