1330887254400 has 1152 divisors, whose sum is σ = 5499390873600. Its totient is φ = 303077376000.

The previous prime is 1330887254387. The next prime is 1330887254441. The reversal of 1330887254400 is 44527880331.

1330887254400 is a `hidden beast` number, since 1 + 3 + 30 + 8 + 8 + 72 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764437530 + ... + 764439270.

It is an arithmetic number, because the mean of its divisors is an integer number (4773776800).

Almost surely, 2^{1330887254400} is an apocalyptic number.

1330887254400 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 1330887254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749695436800).

1330887254400 is an abundant number, since it is smaller than the sum of its proper divisors (4168503619200).

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

1330887254400 is a wasteful number, since it uses less digits than its factorization.

1330887254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1330887254400 in words is "one trillion, three hundred thirty billion, eight hundred eighty-seven million, two hundred fifty-four thousand, four hundred".