401314257000 has 768 divisors, whose sum is σ = 1568124230400. Its totient is φ = 95402188800.

The previous prime is 401314256951. The next prime is 401314257013. The reversal of 401314257000 is 752413104.

401314257000 is a `hidden beast` number, since 40 + 13 + 1 + 42 + 570 + 0 + 0 = 666.

It is a super-2 number, since 2×401314257000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 78486444 + ... + 78491556.

It is an arithmetic number, because the mean of its divisors is an integer number (2041828425).

Almost surely, 2^401314257000 is an apocalyptic number.

401314257000 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 401314257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784062115200).

401314257000 is an abundant number, since it is smaller than the sum of its proper divisors (1166809973400).

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

401314257000 is a wasteful number, since it uses less digits than its factorization.

401314257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 401314257000 in words is "four hundred one billion, three hundred fourteen million, two hundred fifty-seven thousand".