4157964743280 has 80 divisors (see below), whose sum is σ = 12988085387904. Its totient is φ = 1100326539520.

The previous prime is 4157964743263. The next prime is 4157964743287. The reversal of 4157964743280 is 823474697514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157964743287) 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 15 ways as a sum of consecutive naturals, for example, 66093954 + ... + 66156833.

It is a 1-persistent number, because it is pandigital, but 2⋅4157964743280 = 8315929486560 is not.

Almost surely, 2^{4157964743280} is an apocalyptic number.

4157964743280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4157964743280 is an abundant number, since it is smaller than the sum of its proper divisors (8830120644624).

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

4157964743280 is a wasteful number, since it uses less digits than its factorization.

4157964743280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132250934 (or 132250928 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 4157964743280 in words is "four trillion, one hundred fifty-seven billion, nine hundred sixty-four million, seven hundred forty-three thousand, two hundred eighty".