4151690385920 has 1280 divisors, whose sum is σ = 13361768792064. Its totient is φ = 1199702016000.

The previous prime is 4151690385877. The next prime is 4151690385929. The reversal of 4151690385920 is 295830961514.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (4151690385929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18289384847 + ... + 18289385073.

Almost surely, 2^{4151690385920} is an apocalyptic number.

4151690385920 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 4151690385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680884396032).

4151690385920 is an abundant number, since it is smaller than the sum of its proper divisors (9210078406144).

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

4151690385920 is a wasteful number, since it uses less digits than its factorization.

4151690385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 4151690385920 in words is "four trillion, one hundred fifty-one billion, six hundred ninety million, three hundred eighty-five thousand, nine hundred twenty".