401240280672 has 480 divisors, whose sum is σ = 1484317384704. Its totient is φ = 103290163200.

The previous prime is 401240280653. The next prime is 401240280677. The reversal of 401240280672 is 276082042104.

401240280672 is a `hidden beast` number, since 401 + 240 + 2 + 8 + 0 + 6 + 7 + 2 = 666.

401240280672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401240280677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22544097 + ... + 22561887.

Almost surely, 2^401240280672 is an apocalyptic number.

401240280672 is a gapful number since it is divisible by the number (42) 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 401240280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742158692352).

401240280672 is an abundant number, since it is smaller than the sum of its proper divisors (1083077104032).

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

401240280672 is a wasteful number, since it uses less digits than its factorization.

401240280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17944 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 401240280672 in words is "four hundred one billion, two hundred forty million, two hundred eighty thousand, six hundred seventy-two".