401763743472 has 160 divisors (see below), whose sum is σ = 1278133194240. Its totient is φ = 105899074560.

The previous prime is 401763743471. The next prime is 401763743503. The reversal of 401763743472 is 274347367104.

It is a super-2 number, since 2×401763743472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401763743471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7885054 + ... + 7935842.

It is an arithmetic number, because the mean of its divisors is an integer number (7988332464).

Almost surely, 2^401763743472 is an apocalyptic number.

401763743472 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 401763743472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639066597120).

401763743472 is an abundant number, since it is smaller than the sum of its proper divisors (876369450768).

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

401763743472 is a wasteful number, since it uses less digits than its factorization.

401763743472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52631 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 401763743472 in words is "four hundred one billion, seven hundred sixty-three million, seven hundred forty-three thousand, four hundred seventy-two".