1400136660 has 288 divisors, whose sum is σ = 4930746912. Its totient is φ = 318504960.

The previous prime is 1400136649. The next prime is 1400136667. The reversal of 1400136660 is 666310041.

It can be written as a sum of positive squares in 16 ways, for example, as 278422596 + 1121714064 = 16686^2 + 33492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400136667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2426292 + ... + 2426868.

It is an arithmetic number, because the mean of its divisors is an integer number (17120649).

Almost surely, 2^1400136660 is an apocalyptic number.

1400136660 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 1400136660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465373456).

1400136660 is an abundant number, since it is smaller than the sum of its proper divisors (3530610252).

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

1400136660 is a wasteful number, since it uses less digits than its factorization.

1400136660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1400136660 is about 37418.4000192419. The cubic root of 1400136660 is about 1118.7253409044.

The spelling of 1400136660 in words is "one billion, four hundred million, one hundred thirty-six thousand, six hundred sixty".