401777350368 has 192 divisors, whose sum is σ = 1110610206720. Its totient is φ = 127008000000.

The previous prime is 401777350309. The next prime is 401777350369. The reversal of 401777350368 is 863053777104.

It is a super-2 number, since 2×401777350368² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401777350368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401777350369) 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, 35704743 + ... + 35715993.

It is an arithmetic number, because the mean of its divisors is an integer number (5784428160).

Almost surely, 2^401777350368 is an apocalyptic number.

401777350368 is a gapful number since it is divisible by the number (48) 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 401777350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555305103360).

401777350368 is an abundant number, since it is smaller than the sum of its proper divisors (708832856352).

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

401777350368 is a wasteful number, since it uses less digits than its factorization.

401777350368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 401777350368 in words is "four hundred one billion, seven hundred seventy-seven million, three hundred fifty thousand, three hundred sixty-eight".