1400680820 has 144 divisors (see below), whose sum is σ = 3765170304. Its totient is φ = 425068800.

The previous prime is 1400680819. The next prime is 1400680837. The reversal of 1400680820 is 280860041.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10692155 + ... + 10692285.

It is an arithmetic number, because the mean of its divisors is an integer number (26147016).

Almost surely, 2^1400680820 is an apocalyptic number.

1400680820 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 1400680820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882585152).

1400680820 is an abundant number, since it is smaller than the sum of its proper divisors (2364489484).

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

1400680820 is a wasteful number, since it uses less digits than its factorization.

1400680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1400680820 is about 37425.6706018743. The cubic root of 1400680820 is about 1118.8702521717.

The spelling of 1400680820 in words is "one billion, four hundred million, six hundred eighty thousand, eight hundred twenty".