398091200532480 has 4992 divisors, whose sum is σ = 1841176681021440. Its totient is φ = 79796958658560.

The previous prime is 398091200532461. The next prime is 398091200532499. The reversal of 398091200532480 is 84235002190893.

398091200532480 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 9 + 1 + 20 + 0 + 532 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (398091200532461) and next prime (398091200532499).

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1358673039214 + ... + 1358673039506.

Almost surely, 2^{398091200532480} is an apocalyptic number.

398091200532480 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 398091200532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920588340510720).

398091200532480 is an abundant number, since it is smaller than the sum of its proper divisors (1443085480488960).

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

398091200532480 is a wasteful number, since it uses less digits than its factorization.

398091200532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 398091200532480 in words is "three hundred ninety-eight trillion, ninety-one billion, two hundred million, five hundred thirty-two thousand, four hundred eighty".