16231346077440 has 1152 divisors, whose sum is σ = 58190142431232. Its totient is φ = 3830022144000.

The previous prime is 16231346077411. The next prime is 16231346077489. The reversal of 16231346077440 is 4477064313261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16231346077440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64666717315 + ... + 64666717565.

It is an arithmetic number, because the mean of its divisors is an integer number (50512276416).

Almost surely, 2^{16231346077440} is an apocalyptic number.

16231346077440 is a gapful number since it is divisible by the number (10) 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 16231346077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29095071215616).

16231346077440 is an abundant number, since it is smaller than the sum of its proper divisors (41958796353792).

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

16231346077440 is a wasteful number, since it uses less digits than its factorization.

16231346077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 16231346077440 in words is "sixteen trillion, two hundred thirty-one billion, three hundred forty-six million, seventy-seven thousand, four hundred forty".