1261757042000 has 480 divisors, whose sum is σ = 3868006431744. Its totient is φ = 389555712000.

The previous prime is 1261757041999. The next prime is 1261757042047. The reversal of 1261757042000 is 2407571621.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96999497 + ... + 97012503.

Almost surely, 2^{1261757042000} is an apocalyptic number.

1261757042000 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 1261757042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934003215872).

1261757042000 is an abundant number, since it is smaller than the sum of its proper divisors (2606249389744).

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

1261757042000 is a wasteful number, since it uses less digits than its factorization.

1261757042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 13075 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 1261757042000 in words is "one trillion, two hundred sixty-one billion, seven hundred fifty-seven million, forty-two thousand".