401589446473440 has 192 divisors, whose sum is σ = 1454030754926400. Its totient is φ = 103397742508032.

The previous prime is 401589446473429. The next prime is 401589446473489. The reversal of 401589446473440 is 44374644985104.

401589446473440 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 89 + 4 + 46 + 4 + 73 + 440 = 666.

It is a super-2 number, since 2×401589446473440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602642307 + ... + 1602892866.

It is an arithmetic number, because the mean of its divisors is an integer number (7573076848575).

Almost surely, 2^{401589446473440} is an apocalyptic number.

401589446473440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401589446473440 is an abundant number, since it is smaller than the sum of its proper divisors (1052441308452960).

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

401589446473440 is a wasteful number, since it uses less digits than its factorization.

401589446473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205535226 (or 3205535212 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 401589446473440 in words is "four hundred one trillion, five hundred eighty-nine billion, four hundred forty-six million, four hundred seventy-three thousand, four hundred forty".