4120899762672 has 600 divisors, whose sum is σ = 15032198877696. Its totient is φ = 1066833504000.

The previous prime is 4120899762601. The next prime is 4120899762787. The reversal of 4120899762672 is 2762679980214.

4120899762672 is a `hidden beast` number, since 412 + 0 + 8 + 9 + 97 + 62 + 6 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341382397 + ... + 341394467.

Almost surely, 2^{4120899762672} is an apocalyptic number.

4120899762672 is a gapful number since it is divisible by the number (42) 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 4120899762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516099438848).

4120899762672 is an abundant number, since it is smaller than the sum of its proper divisors (10911299115024).

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

4120899762672 is a wasteful number, since it uses less digits than its factorization.

4120899762672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4120899762672 in words is "four trillion, one hundred twenty billion, eight hundred ninety-nine million, seven hundred sixty-two thousand, six hundred seventy-two".