4089616957440 has 1920 divisors, whose sum is σ = 18007476616800. Its totient is φ = 882895749120.

The previous prime is 4089616957423. The next prime is 4089616957471. The reversal of 4089616957440 is 447596169804.

4089616957440 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 6 + 16 + 9 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12355338075 + ... + 12355338405.

Almost surely, 2^{4089616957440} is an apocalyptic number.

4089616957440 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 4089616957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003738308400).

4089616957440 is an abundant number, since it is smaller than the sum of its proper divisors (13917859659360).

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

4089616957440 is an equidigital number, since it uses as much as digits as its factorization.

4089616957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4089616957440 in words is "four trillion, eighty-nine billion, six hundred sixteen million, nine hundred fifty-seven thousand, four hundred forty".