1344742502400 has 1404 divisors, whose sum is σ = 5479087024320. Its totient is φ = 314671104000.

The previous prime is 1344742502387. The next prime is 1344742502423. The reversal of 1344742502400 is 42052474431.

1344742502400 is a `hidden beast` number, since 1 + 3 + 44 + 74 + 2 + 502 + 40 + 0 = 666.

It is a super-2 number, since 2×1344742502400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3456921406 + ... + 3456921794.

Almost surely, 2^{1344742502400} is an apocalyptic number.

1344742502400 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 1344742502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739543512160).

1344742502400 is an abundant number, since it is smaller than the sum of its proper divisors (4134344521920).

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

1344742502400 is a wasteful number, since it uses less digits than its factorization.

1344742502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 1344742502400 its reverse (42052474431), we get a palindrome (1386794976831).

The spelling of 1344742502400 in words is "one trillion, three hundred forty-four billion, seven hundred forty-two million, five hundred two thousand, four hundred".