1301067878400 has 1092 divisors, whose sum is σ = 5012293893180. Its totient is φ = 334430208000.

The previous prime is 1301067878339. The next prime is 1301067878437. The reversal of 1301067878400 is 48787601031.

1301067878400 is a `hidden beast` number, since 1 + 3 + 0 + 106 + 78 + 78 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4311760896 + 1296756117504 = 65664^2 + 1138752^2 .

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 83 ways as a sum of consecutive naturals, for example, 2164838100 + ... + 2164838700.

Almost surely, 2^{1301067878400} is an apocalyptic number.

1301067878400 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 1301067878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506146946590).

1301067878400 is an abundant number, since it is smaller than the sum of its proper divisors (3711226014780).

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

1301067878400 is an frugal number, since it uses more digits than its factorization.

1301067878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1301067878400 in words is "one trillion, three hundred one billion, sixty-seven million, eight hundred seventy-eight thousand, four hundred".