401343776640 has 448 divisors, whose sum is σ = 1484993520000. Its totient is φ = 103568855040.

The previous prime is 401343776627. The next prime is 401343776651. The reversal of 401343776640 is 46677343104.

It is a super-2 number, since 2×401343776640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14449486 + ... + 14477234.

Almost surely, 2^401343776640 is an apocalyptic number.

401343776640 is a gapful number since it is divisible by the number (40) 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 401343776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742496760000).

401343776640 is an abundant number, since it is smaller than the sum of its proper divisors (1083649743360).

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

401343776640 is an equidigital number, since it uses as much as digits as its factorization.

401343776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27817 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 401343776640 in words is "four hundred one billion, three hundred forty-three million, seven hundred seventy-six thousand, six hundred forty".