4132397808900 has 189 divisors, whose sum is σ = 13446590427151. Its totient is φ = 1101826385280.

The previous prime is 4132397808883. The next prime is 4132397808971. The reversal of 4132397808900 is 98087932314.

The square root of 4132397808900 is 2032830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 395970664644 + 3736427144256 = 629262^2 + 1932984^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 548860336 + ... + 548867864.

Almost surely, 2^{4132397808900} is an apocalyptic number.

4132397808900 is the 2032830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132397808900

4132397808900 is an abundant number, since it is smaller than the sum of its proper divisors (9314192618251).

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

4132397808900 is an frugal number, since it uses more digits than its factorization.

4132397808900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15090 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4132397808900 in words is "four trillion, one hundred thirty-two billion, three hundred ninety-seven million, eight hundred eight thousand, nine hundred".