4259697361920 has 3520 divisors, whose sum is σ = 21219824812032. Its totient is φ = 788299776000.

The previous prime is 4259697361859. The next prime is 4259697361993. The reversal of 4259697361920 is 291637969524.

4259697361920 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 6 + 9 + 7 + 3 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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 319 ways as a sum of consecutive naturals, for example, 12869176155 + ... + 12869176485.

Almost surely, 2^{4259697361920} is an apocalyptic number.

4259697361920 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 4259697361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609912406016).

4259697361920 is an abundant number, since it is smaller than the sum of its proper divisors (16960127450112).

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

4259697361920 is a wasteful number, since it uses less digits than its factorization.

4259697361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 4259697361920 in words is "four trillion, two hundred fifty-nine billion, six hundred ninety-seven million, three hundred sixty-one thousand, nine hundred twenty".