401081658480 has 160 divisors (see below), whose sum is σ = 1381997260800. Its totient is φ = 106916882688.

The previous prime is 401081658463. The next prime is 401081658491. The reversal of 401081658480 is 84856180104.

401081658480 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 8 + 165 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6290601 + ... + 6354039.

It is an arithmetic number, because the mean of its divisors is an integer number (8637482880).

Almost surely, 2^401081658480 is an apocalyptic number.

401081658480 is a gapful number since it is divisible by the number (40) 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 401081658480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690998630400).

401081658480 is an abundant number, since it is smaller than the sum of its proper divisors (980915602320).

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

401081658480 is a wasteful number, since it uses less digits than its factorization.

401081658480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66388 (or 66376 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 401081658480 in words is "four hundred one billion, eighty-one million, six hundred fifty-eight thousand, four hundred eighty".