401565360278880 has 1920 divisors, whose sum is σ = 1654642804598784. Its totient is φ = 89830342656000.

The previous prime is 401565360278843. The next prime is 401565360278891. The reversal of 401565360278880 is 88872063565104.

401565360278880 is a `hidden beast` number, since 4 + 0 + 1 + 565 + 3 + 60 + 2 + 7 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×401565360278880² (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 319 ways as a sum of consecutive naturals, for example, 368070907135 + ... + 368070908225.

Almost surely, 2^{401565360278880} is an apocalyptic number.

401565360278880 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 401565360278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827321402299392).

401565360278880 is an abundant number, since it is smaller than the sum of its proper divisors (1253077444319904).

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

401565360278880 is a wasteful number, since it uses less digits than its factorization.

401565360278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 401565360278880 in words is "four hundred one trillion, five hundred sixty-five billion, three hundred sixty million, two hundred seventy-eight thousand, eight hundred eighty".