393090128640 has 864 divisors, whose sum is σ = 1528603405056. Its totient is φ = 92453437440.

The previous prime is 393090128623. The next prime is 393090128653. The reversal of 393090128640 is 46821090393.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718628847 + ... + 718629393.

It is an arithmetic number, because the mean of its divisors is an integer number (1769216904).

Almost surely, 2^393090128640 is an apocalyptic number.

393090128640 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 393090128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764301702528).

393090128640 is an abundant number, since it is smaller than the sum of its proper divisors (1135513276416).

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

393090128640 is a wasteful number, since it uses less digits than its factorization.

393090128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 393090128640 in words is "three hundred ninety-three billion, ninety million, one hundred twenty-eight thousand, six hundred forty".