1401052000 has 96 divisors (see below), whose sum is σ = 3526758144. Its totient is φ = 546688000.

The previous prime is 1401051893. The next prime is 1401052007. The reversal of 1401052000 is 2501041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401052007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159729 + ... + 168271.

It is an arithmetic number, because the mean of its divisors is an integer number (36737064).

Almost surely, 2^1401052000 is an apocalyptic number.

1401052000 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 1401052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763379072).

1401052000 is an abundant number, since it is smaller than the sum of its proper divisors (2125706144).

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

1401052000 is an equidigital number, since it uses as much as digits as its factorization.

1401052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1401052000 is about 37430.6291691711. The cubic root of 1401052000 is about 1118.9690768706.

Adding to 1401052000 its reverse (2501041), we get a palindrome (1403553041).

The spelling of 1401052000 in words is "one billion, four hundred one million, fifty-two thousand".