398215661760 has 504 divisors, whose sum is σ = 1677190011120. Its totient is φ = 86229577728.

The previous prime is 398215661743. The next prime is 398215661801. The reversal of 398215661760 is 67166512893.

398215661760 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 1 + 566 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 398215661697 and 398215661706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2607022 + ... + 2755538.

Almost surely, 2^398215661760 is an apocalyptic number.

398215661760 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 398215661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838595005560).

398215661760 is an abundant number, since it is smaller than the sum of its proper divisors (1278974349360).

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

398215661760 is a wasteful number, since it uses less digits than its factorization.

398215661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148573 (or 148553 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 398215661760 in words is "three hundred ninety-eight billion, two hundred fifteen million, six hundred sixty-one thousand, seven hundred sixty".