1975037042000 has 320 divisors, whose sum is σ = 5611573693440. Its totient is φ = 664566336000.

The previous prime is 1975037041987. The next prime is 1975037042053. The reversal of 1975037042000 is 2407305791.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17919059 + ... + 18028941.

It is an arithmetic number, because the mean of its divisors is an integer number (17536167792).

Almost surely, 2^{1975037042000} is an apocalyptic number.

1975037042000 is a gapful number since it is divisible by the number (10) 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 1975037042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805786846720).

1975037042000 is an abundant number, since it is smaller than the sum of its proper divisors (3636536651440).

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

1975037042000 is a wasteful number, since it uses less digits than its factorization.

1975037042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109979 (or 109963 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 1975037042000 in words is "one trillion, nine hundred seventy-five billion, thirty-seven million, forty-two thousand".