396148595581440 has 4480 divisors, whose sum is σ = 1681429161646080. Its totient is φ = 88690891161600.

The previous prime is 396148595581429. The next prime is 396148595581457. The reversal of 396148595581440 is 44185595841693.

396148595581440 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 4 + 8 + 59 + 55 + 81 + 440 = 666.

It is a super-2 number, since 2×396148595581440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 894240621859 + ... + 894240622301.

It is an arithmetic number, because the mean of its divisors is an integer number (375319009296).

Almost surely, 2^{396148595581440} is an apocalyptic number.

396148595581440 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 396148595581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840714580823040).

396148595581440 is an abundant number, since it is smaller than the sum of its proper divisors (1285280566064640).

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

396148595581440 is a wasteful number, since it uses less digits than its factorization.

396148595581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 396148595581440 in words is "three hundred ninety-six trillion, one hundred forty-eight billion, five hundred ninety-five million, five hundred eighty-one thousand, four hundred forty".