401781940560 has 1920 divisors, whose sum is σ = 1913477529600. Its totient is φ = 74375884800.

The previous prime is 401781940531. The next prime is 401781940577. The reversal of 401781940560 is 65049187104.

401781940560 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 81 + 9 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×401781940560² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1094773497 + ... + 1094773863.

It is an arithmetic number, because the mean of its divisors is an integer number (996602880).

Almost surely, 2^401781940560 is an apocalyptic number.

401781940560 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 401781940560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956738764800).

401781940560 is an abundant number, since it is smaller than the sum of its proper divisors (1511695589040).

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

401781940560 is a wasteful number, since it uses less digits than its factorization.

401781940560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 401781 and 940560, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 401781940560 in words is "four hundred one billion, seven hundred eighty-one million, nine hundred forty thousand, five hundred sixty".