401304474869760 has 8064 divisors, whose sum is σ = 2004897206108160. Its totient is φ = 75848771174400.

The previous prime is 401304474869723. The next prime is 401304474869803. The reversal of 401304474869760 is 67968474403104.

401304474869760 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 0 + 4 + 4 + 7 + 486 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×401304474869760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3159877754817 + ... + 3159877754943.

It is an arithmetic number, because the mean of its divisors is an integer number (248623165440).

Almost surely, 2^{401304474869760} is an apocalyptic number.

401304474869760 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 401304474869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002448603054080).

401304474869760 is an abundant number, since it is smaller than the sum of its proper divisors (1603592731238400).

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

401304474869760 is a wasteful number, since it uses less digits than its factorization.

401304474869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 401304474869760 in words is "four hundred one trillion, three hundred four billion, four hundred seventy-four million, eight hundred sixty-nine thousand, seven hundred sixty".