412926495072 has 576 divisors, whose sum is σ = 1393707893760. Its totient is φ = 106070114304.

The previous prime is 412926495067. The next prime is 412926495143. The reversal of 412926495072 is 270594629214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397426329 + ... + 397427367.

It is an arithmetic number, because the mean of its divisors is an integer number (2419631760).

Almost surely, 2^412926495072 is an apocalyptic number.

412926495072 is a gapful number since it is divisible by the number (42) 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 412926495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696853946880).

412926495072 is an abundant number, since it is smaller than the sum of its proper divisors (980781398688).

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

412926495072 is a wasteful number, since it uses less digits than its factorization.

412926495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 412926495072 in words is "four hundred twelve billion, nine hundred twenty-six million, four hundred ninety-five thousand, seventy-two".