1373126144400 has 360 divisors, whose sum is σ = 4868264244480. Its totient is φ = 358324162560.

The previous prime is 1373126144393. The next prime is 1373126144449. The reversal of 1373126144400 is 44416213731.

1373126144400 is a `hidden beast` number, since 1 + 3 + 7 + 31 + 2 + 614 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 32115837 + ... + 32158563.

Almost surely, 2^{1373126144400} is an apocalyptic number.

1373126144400 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 1373126144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434132122240).

1373126144400 is an abundant number, since it is smaller than the sum of its proper divisors (3495138100080).

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

1373126144400 is a wasteful number, since it uses less digits than its factorization.

1373126144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42943 (or 42929 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1373126144400 in words is "one trillion, three hundred seventy-three billion, one hundred twenty-six million, one hundred forty-four thousand, four hundred".