416370791824 has 45 divisors (see below), whose sum is σ = 873617555043. Its totient is φ = 192155648256.

The previous prime is 416370791807. The next prime is 416370791833. The reversal of 416370791824 is 428197073614.

It is a happy number.

The square root of 416370791824 is 645268.

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 298880890000 + 117489901824 = 546700^2 + 342768^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33547732 + ... + 33560140.

Almost surely, 2^416370791824 is an apocalyptic number.

416370791824 is the 645268-th square number.

It is an amenable number.

416370791824 is an abundant number, since it is smaller than the sum of its proper divisors (457246763219).

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

416370791824 is an frugal number, since it uses more digits than its factorization.

416370791824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 416370791824 in words is "four hundred sixteen billion, three hundred seventy million, seven hundred ninety-one thousand, eight hundred twenty-four".