401401762272 has 576 divisors, whose sum is σ = 1391268662784. Its totient is φ = 111459317760.

The previous prime is 401401762243. The next prime is 401401762303. The reversal of 401401762272 is 272267104104.

401401762272 is a `hidden beast` number, since 4 + 0 + 14 + 0 + 17 + 622 + 7 + 2 = 666.

It is a super-2 number, since 2×401401762272² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741962322 + ... + 741962862.

It is an arithmetic number, because the mean of its divisors is an integer number (2415396984).

Almost surely, 2^401401762272 is an apocalyptic number.

401401762272 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 401401762272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695634331392).

401401762272 is an abundant number, since it is smaller than the sum of its proper divisors (989866900512).

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

401401762272 is a wasteful number, since it uses less digits than its factorization.

401401762272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 401401762272 its reverse (272267104104), we get a palindrome (673668866376).

The spelling of 401401762272 in words is "four hundred one billion, four hundred one million, seven hundred sixty-two thousand, two hundred seventy-two".