401149153680 has 960 divisors, whose sum is σ = 1516639500288. Its totient is φ = 86661120000.

The previous prime is 401149153679. The next prime is 401149153687. The reversal of 401149153680 is 86351941104.

It is not an unprimeable number, because it can be changed into a prime (401149153687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3062207215 + ... + 3062207345.

Almost surely, 2^401149153680 is an apocalyptic number.

401149153680 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 401149153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758319750144).

401149153680 is an abundant number, since it is smaller than the sum of its proper divisors (1115490346608).

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

401149153680 is a wasteful number, since it uses less digits than its factorization.

401149153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 401149153680 in words is "four hundred one billion, one hundred forty-nine million, one hundred fifty-three thousand, six hundred eighty".