1401640000 has 140 divisors (see below), whose sum is σ = 3534231184. Its totient is φ = 551232000.

The previous prime is 1401639971. The next prime is 1401640043. The reversal of 1401640000 is 461041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2679739 + ... + 2680261.

Almost surely, 2^1401640000 is an apocalyptic number.

1401640000 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 1401640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767115592).

1401640000 is an abundant number, since it is smaller than the sum of its proper divisors (2132591184).

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

1401640000 is an frugal number, since it uses more digits than its factorization.

1401640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1401640000 is about 37438.4828752448. The cubic root of 1401640000 is about 1119.1255930204.

The spelling of 1401640000 in words is "one billion, four hundred one million, six hundred forty thousand".