401777013496320 has 2160 divisors, whose sum is σ = 1781276342829984. Its totient is φ = 83387437056000.

The previous prime is 401777013496277. The next prime is 401777013496357. The reversal of 401777013496320 is 23694310777104.

It is a happy number.

401777013496320 is a `hidden beast` number, since 4 + 0 + 1 + 77 + 70 + 13 + 496 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×401777013496320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 198212635147 + ... + 198212637173.

Almost surely, 2^{401777013496320} is an apocalyptic number.

401777013496320 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 401777013496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890638171414992).

401777013496320 is an abundant number, since it is smaller than the sum of its proper divisors (1379499329333664).

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

401777013496320 is a wasteful number, since it uses less digits than its factorization.

401777013496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 401777013496320 in words is "four hundred one trillion, seven hundred seventy-seven billion, thirteen million, four hundred ninety-six thousand, three hundred twenty".