1642190990400 has 567 divisors, whose sum is σ = 5970323173503. Its totient is φ = 428116838400.

The previous prime is 1642190990389. The next prime is 1642190990491. The reversal of 1642190990400 is 40990912461.

The square root of 1642190990400 is 1281480.

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

1642190990400 is a `hidden beast` number, since 16 + 42 + 190 + 9 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 881360460864 + 760830529536 = 938808^2 + 872256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9072878310 + ... + 9072878490.

Almost surely, 2^{1642190990400} is an apocalyptic number.

1642190990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1642190990400 is the 1281480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642190990400

1642190990400 is an abundant number, since it is smaller than the sum of its proper divisors (4328132183103).

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

1642190990400 is an equidigital number, since it uses as much as digits as its factorization.

1642190990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1642190990400 in words is "one trillion, six hundred forty-two billion, one hundred ninety million, nine hundred ninety thousand, four hundred".