396041274720 has 768 divisors, whose sum is σ = 1764903168000. Its totient is φ = 80676642816.

The previous prime is 396041274701. The next prime is 396041274743. The reversal of 396041274720 is 27472140693.

396041274720 is a `hidden beast` number, since 3 + 9 + 604 + 12 + 7 + 4 + 7 + 20 = 666.

It is a super-3 number, since 3×396041274720³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11383111 + ... + 11417849.

It is an arithmetic number, because the mean of its divisors is an integer number (2298051000).

Almost surely, 2^396041274720 is an apocalyptic number.

396041274720 is a gapful number since it is divisible by the number (30) 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 396041274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882451584000).

396041274720 is an abundant number, since it is smaller than the sum of its proper divisors (1368861893280).

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

396041274720 is a wasteful number, since it uses less digits than its factorization.

396041274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34812 (or 34798 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 396041 and 274720, that added together give a square (670761 = 819²).

The spelling of 396041274720 in words is "three hundred ninety-six billion, forty-one million, two hundred seventy-four thousand, seven hundred twenty".