401736591360 has 1152 divisors, whose sum is σ = 1596947788800. Its totient is φ = 92649553920.

The previous prime is 401736591331. The next prime is 401736591379. The reversal of 401736591360 is 63195637104.

It is a happy number.

401736591360 is a `hidden beast` number, since 40 + 17 + 3 + 6 + 591 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×401736591360² (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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680906121 + ... + 1680906359.

It is an arithmetic number, because the mean of its divisors is an integer number (1386239400).

Almost surely, 2^401736591360 is an apocalyptic number.

401736591360 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 401736591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798473894400).

401736591360 is an abundant number, since it is smaller than the sum of its proper divisors (1195211197440).

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

401736591360 is a wasteful number, since it uses less digits than its factorization.

401736591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 401736591360 in words is "four hundred one billion, seven hundred thirty-six million, five hundred ninety-one thousand, three hundred sixty".