405872981712 has 240 divisors, whose sum is σ = 1292754258432. Its totient is φ = 122253183360.

The previous prime is 405872981659. The next prime is 405872981737. The reversal of 405872981712 is 217189278504.

405872981712 is a `hidden beast` number, since 40 + 587 + 2 + 9 + 8 + 1 + 7 + 12 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7113843 + ... + 7170669.

Almost surely, 2^405872981712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405872981712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646377129216).

405872981712 is an abundant number, since it is smaller than the sum of its proper divisors (886881276720).

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

405872981712 is a wasteful number, since it uses less digits than its factorization.

405872981712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57028 (or 57010 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 405872981712 in words is "four hundred five billion, eight hundred seventy-two million, nine hundred eighty-one thousand, seven hundred twelve".