1341751952640 has 288 divisors, whose sum is σ = 4680354470400. Its totient is φ = 324885749760.

The previous prime is 1341751952627. The next prime is 1341751952641. The reversal of 1341751952640 is 462591571431.

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 1341751952640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341751952641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36265671 + ... + 36302649.

It is an arithmetic number, because the mean of its divisors is an integer number (16251230800).

Almost surely, 2^{1341751952640} is an apocalyptic number.

1341751952640 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 1341751952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340177235200).

1341751952640 is an abundant number, since it is smaller than the sum of its proper divisors (3338602517760).

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

1341751952640 is a wasteful number, since it uses less digits than its factorization.

1341751952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37873 (or 37859 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 1341751952640 in words is "one trillion, three hundred forty-one billion, seven hundred fifty-one million, nine hundred fifty-two thousand, six hundred forty".