401769291456 has 224 divisors, whose sum is σ = 1282007982080. Its totient is φ = 122647053312.

The previous prime is 401769291431. The next prime is 401769291487. The reversal of 401769291456 is 654192967104.

401769291456 is a `hidden beast` number, since 4 + 0 + 17 + 6 + 92 + 91 + 456 = 666.

It is a super-2 number, since 2×401769291456² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782515 + ... + 2923341.

It is an arithmetic number, because the mean of its divisors is an integer number (5723249920).

Almost surely, 2^401769291456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401769291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641003991040).

401769291456 is an abundant number, since it is smaller than the sum of its proper divisors (880238690624).

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

401769291456 is a wasteful number, since it uses less digits than its factorization.

401769291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140988 (or 140972 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 401769291456 in words is "four hundred one billion, seven hundred sixty-nine million, two hundred ninety-one thousand, four hundred fifty-six".