1040561412240 has 640 divisors, whose sum is σ = 3833628632064. Its totient is φ = 228556800000.

The previous prime is 1040561412181. The next prime is 1040561412251. The reversal of 1040561412240 is 422141650401.

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 = 1040561412198 and 1040561412207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2594916040 + ... + 2594916440.

Almost surely, 2^{1040561412240} is an apocalyptic number.

1040561412240 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 1040561412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916814316032).

1040561412240 is an abundant number, since it is smaller than the sum of its proper divisors (2793067219824).

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

1040561412240 is a wasteful number, since it uses less digits than its factorization.

1040561412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1040561412240 in words is "one trillion, forty billion, five hundred sixty-one million, four hundred twelve thousand, two hundred forty".