401111757471744 has 2160 divisors, whose sum is σ = 1370367490617216. Its totient is φ = 116353046937600.

The previous prime is 401111757471721. The next prime is 401111757471773. The reversal of 401111757471744 is 447174757111104.

401111757471744 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 1 + 17 + 574 + 7 + 17 + 44 = 666.

It is a super-2 number, since 2×401111757471744² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4832671776727 + ... + 4832671776809.

Almost surely, 2^{401111757471744} is an apocalyptic number.

401111757471744 is a gapful number since it is divisible by the number (44) 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 401111757471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685183745308608).

401111757471744 is an abundant number, since it is smaller than the sum of its proper divisors (969255733145472).

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

401111757471744 is an frugal number, since it uses more digits than its factorization.

401111757471744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 401111757471744 in words is "four hundred one trillion, one hundred eleven billion, seven hundred fifty-seven million, four hundred seventy-one thousand, seven hundred forty-four".