1344250957920 has 288 divisors, whose sum is σ = 4854889200672. Its totient is φ = 311427956736.

The previous prime is 1344250957897. The next prime is 1344250957921. The reversal of 1344250957920 is 297590524431.

It is a super-2 number, since 2×1344250957920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344250957921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891654 + ... + 1866426.

It is an arithmetic number, because the mean of its divisors is an integer number (16857254169).

Almost surely, 2^{1344250957920} is an apocalyptic number.

1344250957920 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 1344250957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427444600336).

1344250957920 is an abundant number, since it is smaller than the sum of its proper divisors (3510638242752).

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

1344250957920 is a wasteful number, since it uses less digits than its factorization.

1344250957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974834 (or 974813 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 1344250957920 in words is "one trillion, three hundred forty-four billion, two hundred fifty million, nine hundred fifty-seven thousand, nine hundred twenty".