396051571440 has 320 divisors, whose sum is σ = 1577849011200. Its totient is φ = 89435114496.

The previous prime is 396051571339. The next prime is 396051571451. The reversal of 396051571440 is 44175150693.

396051571440 is a `hidden beast` number, since 3 + 9 + 60 + 515 + 71 + 4 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1097166 + ... + 1412754.

It is an arithmetic number, because the mean of its divisors is an integer number (4930778160).

Almost surely, 2^396051571440 is an apocalyptic number.

396051571440 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 396051571440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788924505600).

396051571440 is an abundant number, since it is smaller than the sum of its proper divisors (1181797439760).

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

396051571440 is a wasteful number, since it uses less digits than its factorization.

396051571440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315701 (or 315689 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 396051571440 in words is "three hundred ninety-six billion, fifty-one million, five hundred seventy-one thousand, four hundred forty".