4097129713920 has 360 divisors, whose sum is σ = 14879114726784. Its totient is φ = 1076259115008.

The previous prime is 4097129713909. The next prime is 4097129713973. The reversal of 4097129713920 is 293179217904.

It is a happy number.

4097129713920 is a `hidden beast` number, since 40 + 97 + 129 + 7 + 1 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6651657 + ... + 7241463.

Almost surely, 2^{4097129713920} is an apocalyptic number.

4097129713920 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 4097129713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439557363392).

4097129713920 is an abundant number, since it is smaller than the sum of its proper divisors (10781985012864).

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

4097129713920 is an equidigital number, since it uses as much as digits as its factorization.

4097129713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589907 (or 589884 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 4097129713920 in words is "four trillion, ninety-seven billion, one hundred twenty-nine million, seven hundred thirteen thousand, nine hundred twenty".