390400091988480 has 1600 divisors, whose sum is σ = 1693089059650560. Its totient is φ = 83933573677056.

The previous prime is 390400091988449. The next prime is 390400091988481. The reversal of 390400091988480 is 84889190004093.

390400091988480 is a `hidden beast` number, since 39 + 0 + 40 + 0 + 0 + 9 + 1 + 9 + 88 + 480 = 666.

It is a super-2 number, since 2×390400091988480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (390400091988481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50906254086 + ... + 50906261754.

Almost surely, 2^{390400091988480} is an apocalyptic number.

390400091988480 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 390400091988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846544529825280).

390400091988480 is an abundant number, since it is smaller than the sum of its proper divisors (1302688967662080).

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

390400091988480 is a wasteful number, since it uses less digits than its factorization.

390400091988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 390400091988480 in words is "three hundred ninety trillion, four hundred billion, ninety-one million, nine hundred eighty-eight thousand, four hundred eighty".