1475920242000 has 120 divisors (see below), whose sum is σ = 5154897494760. Its totient is φ = 393578726400.

The previous prime is 1475920241977. The next prime is 1475920242001. The reversal of 1475920242000 is 2420295741.

1475920242000 is a `hidden beast` number, since 1 + 47 + 592 + 0 + 2 + 4 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280230479424 + 1195689762576 = 529368^2 + 1093476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1475920242001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40979785 + ... + 41015784.

It is an arithmetic number, because the mean of its divisors is an integer number (42957479123).

Almost surely, 2^{1475920242000} is an apocalyptic number.

1475920242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1475920242000 is an abundant number, since it is smaller than the sum of its proper divisors (3678977252760).

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

1475920242000 is a wasteful number, since it uses less digits than its factorization.

1475920242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81995598 (or 81995579 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1475920242000 in words is "one trillion, four hundred seventy-five billion, nine hundred twenty million, two hundred forty-two thousand".