412081600789440 has 560 divisors, whose sum is σ = 1479803472525312. Its totient is φ = 108842508048384.

The previous prime is 412081600789429. The next prime is 412081600789451. The reversal of 412081600789440 is 44987006180214.

412081600789440 is a `hidden beast` number, since 4 + 1 + 20 + 8 + 1 + 600 + 7 + 8 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412081600789429) and next prime (412081600789451).

It is a super-2 number, since 2×412081600789440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23981927089 + ... + 23981944271.

Almost surely, 2^{412081600789440} is an apocalyptic number.

412081600789440 is a gapful number since it is divisible by the number (40) 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 412081600789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739901736262656).

412081600789440 is an abundant number, since it is smaller than the sum of its proper divisors (1067721871735872).

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

412081600789440 is a wasteful number, since it uses less digits than its factorization.

412081600789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966 (or 25947 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 412081600789440 in words is "four hundred twelve trillion, eighty-one billion, six hundred million, seven hundred eighty-nine thousand, four hundred forty".