401851359360 has 1024 divisors, whose sum is σ = 1600422105600. Its totient is φ = 94466211840.

The previous prime is 401851359341. The next prime is 401851359373. The reversal of 401851359360 is 63953158104.

401851359360 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 51 + 3 + 593 + 6 + 0 = 666.

It is a super-2 number, since 2×401851359360² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1138388944 + ... + 1138389296.

Almost surely, 2^401851359360 is an apocalyptic number.

401851359360 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 401851359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800211052800).

401851359360 is an abundant number, since it is smaller than the sum of its proper divisors (1198570746240).

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

401851359360 is a wasteful number, since it uses less digits than its factorization.

401851359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 401851359360 in words is "four hundred one billion, eight hundred fifty-one million, three hundred fifty-nine thousand, three hundred sixty".