1301438880 has 192 divisors, whose sum is σ = 5205876480. Its totient is φ = 297464832.

The previous prime is 1301438867. The next prime is 1301438899. The reversal of 1301438880 is 888341031.

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 31 ways as a sum of consecutive naturals, for example, 8722 + ... + 51758.

It is an arithmetic number, because the mean of its divisors is an integer number (27113940).

Almost surely, 2^1301438880 is an apocalyptic number.

1301438880 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 1301438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602938240).

1301438880 is an abundant number, since it is smaller than the sum of its proper divisors (3904437600).

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

1301438880 is a wasteful number, since it uses less digits than its factorization.

1301438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43068 (or 43054 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1301438880 is about 36075.4609118165. The cubic root of 1301438880 is about 1091.7953970008.

The spelling of 1301438880 in words is "one billion, three hundred one million, four hundred thirty-eight thousand, eight hundred eighty".