1261762573440 has 128 divisors (see below), whose sum is σ = 4045117060800. Its totient is φ = 334525018112.

The previous prime is 1261762573439. The next prime is 1261762573441. The reversal of 1261762573440 is 443752671621.

It is an interprime number because it is at equal distance from previous prime (1261762573439) and next prime (1261762573441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1261762573440.

It is not an unprimeable number, because it can be changed into a prime (1261762573441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567170 + ... + 2231489.

Almost surely, 2^{1261762573440} is an apocalyptic number.

1261762573440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261762573440 is an abundant number, since it is smaller than the sum of its proper divisors (2783354487360).

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

1261762573440 is a wasteful number, since it uses less digits than its factorization.

1261762573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798854 (or 3798842 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 1261762573440 in words is "one trillion, two hundred sixty-one billion, seven hundred sixty-two million, five hundred seventy-three thousand, four hundred forty".