401493652560 has 2400 divisors, whose sum is σ = 2003450270976. Its totient is φ = 72260812800.

The previous prime is 401493652559. The next prime is 401493652583. The reversal of 401493652560 is 65256394104.

401493652560 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 9 + 36 + 52 + 560 = 666.

It is a super-2 number, since 2×401493652560² (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 479 ways as a sum of consecutive naturals, for example, 1212971595 + ... + 1212971925.

Almost surely, 2^401493652560 is an apocalyptic number.

401493652560 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 401493652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001725135488).

401493652560 is an abundant number, since it is smaller than the sum of its proper divisors (1601956618416).

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

401493652560 is a wasteful number, since it uses less digits than its factorization.

401493652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 401493652560 in words is "four hundred one billion, four hundred ninety-three million, six hundred fifty-two thousand, five hundred sixty".