1401142080 has 336 divisors, whose sum is σ = 5072505984. Its totient is φ = 325693440.

The previous prime is 1401142027. The next prime is 1401142081. The reversal of 1401142080 is 802411041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401142081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4505125 + ... + 4505435.

It is an arithmetic number, because the mean of its divisors is an integer number (15096744).

Almost surely, 2^1401142080 is an apocalyptic number.

1401142080 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 1401142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536252992).

1401142080 is an abundant number, since it is smaller than the sum of its proper divisors (3671363904).

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

1401142080 is a wasteful number, since it uses less digits than its factorization.

1401142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1401142080 is about 37431.8324424546. The cubic root of 1401142080 is about 1118.9930575589.

The spelling of 1401142080 in words is "one billion, four hundred one million, one hundred forty-two thousand, eighty".