412451924640 has 768 divisors, whose sum is σ = 1666324638720. Its totient is φ = 83566264320.

The previous prime is 412451924629. The next prime is 412451924659. The reversal of 412451924640 is 46429154214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 412451924592 and 412451924601.

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, 67912644 + ... + 67918716.

It is an arithmetic number, because the mean of its divisors is an integer number (2169693540).

Almost surely, 2^412451924640 is an apocalyptic number.

412451924640 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 412451924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833162319360).

412451924640 is an abundant number, since it is smaller than the sum of its proper divisors (1253872714080).

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

412451924640 is a wasteful number, since it uses less digits than its factorization.

412451924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 412451924640 in words is "four hundred twelve billion, four hundred fifty-one million, nine hundred twenty-four thousand, six hundred forty".