1374260428800 has 1296 divisors, whose sum is σ = 5891988982320. Its totient is φ = 313125765120.

The previous prime is 1374260428747. The next prime is 1374260428837. The reversal of 1374260428800 is 88240624731.

It is a happy number.

1374260428800 is a `hidden beast` number, since 1 + 37 + 4 + 2 + 604 + 2 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4335206242 + ... + 4335206558.

It is an arithmetic number, because the mean of its divisors is an integer number (4546287795).

Almost surely, 2^{1374260428800} is an apocalyptic number.

1374260428800 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 1374260428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945994491160).

1374260428800 is an abundant number, since it is smaller than the sum of its proper divisors (4517728553520).

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

1374260428800 is an frugal number, since it uses more digits than its factorization.

1374260428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1374260428800 in words is "one trillion, three hundred seventy-four billion, two hundred sixty million, four hundred twenty-eight thousand, eight hundred".