1040919418560 has 672 divisors, whose sum is σ = 3999541708800. Its totient is φ = 228449894400.

The previous prime is 1040919418547. The next prime is 1040919418579. The reversal of 1040919418560 is 658149190401.

1040919418560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191026716 + ... + 191032164.

Almost surely, 2^{1040919418560} is an apocalyptic number.

1040919418560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040919418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999770854400).

1040919418560 is an abundant number, since it is smaller than the sum of its proper divisors (2958622290240).

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

1040919418560 is a wasteful number, since it uses less digits than its factorization.

1040919418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 1040919418560 in words is "one trillion, forty billion, nine hundred nineteen million, four hundred eighteen thousand, five hundred sixty".