1400023680 has 256 divisors, whose sum is σ = 4911667200. Its totient is φ = 336384000.

The previous prime is 1400023657. The next prime is 1400023717. The reversal of 1400023680 is 863200041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1400023680.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3188901 + ... + 3189339.

It is an arithmetic number, because the mean of its divisors is an integer number (19186200).

Almost surely, 2^1400023680 is an apocalyptic number.

1400023680 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 1400023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455833600).

1400023680 is an abundant number, since it is smaller than the sum of its proper divisors (3511643520).

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

1400023680 is a wasteful number, since it uses less digits than its factorization.

1400023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1400023680 is about 37416.8903037118. The cubic root of 1400023680 is about 1118.6952493206.

The spelling of 1400023680 in words is "one billion, four hundred million, twenty-three thousand, six hundred eighty".