401195010720 has 432 divisors, whose sum is σ = 1551571586208. Its totient is φ = 86873472000.

The previous prime is 401195010707. The next prime is 401195010731. The reversal of 401195010720 is 27010591104.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8467095 + ... + 8514345.

It is an arithmetic number, because the mean of its divisors is an integer number (3591600894).

Almost surely, 2^401195010720 is an apocalyptic number.

401195010720 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 401195010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775785793104).

401195010720 is an abundant number, since it is smaller than the sum of its proper divisors (1150376575488).

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

401195010720 is a wasteful number, since it uses less digits than its factorization.

401195010720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47321 (or 47287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 401195010720 in words is "four hundred one billion, one hundred ninety-five million, ten thousand, seven hundred twenty".