16077488394240 has 2496 divisors, whose sum is σ = 71936684531712. Its totient is φ = 3353857228800.

The previous prime is 16077488394217. The next prime is 16077488394251. The reversal of 16077488394240 is 4249388477061.

16077488394240 is a `hidden beast` number, since 1 + 6 + 0 + 77 + 488 + 3 + 9 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59326525305 + ... + 59326525575.

It is an arithmetic number, because the mean of its divisors is an integer number (28820787072).

Almost surely, 2^{16077488394240} is an apocalyptic number.

16077488394240 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 16077488394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35968342265856).

16077488394240 is an abundant number, since it is smaller than the sum of its proper divisors (55859196137472).

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

16077488394240 is a wasteful number, since it uses less digits than its factorization.

16077488394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 16077488394240 in words is "sixteen trillion, seventy-seven billion, four hundred eighty-eight million, three hundred ninety-four thousand, two hundred forty".