1400456940 has 192 divisors, whose sum is σ = 4412620800. Its totient is φ = 329785344.

The previous prime is 1400456933. The next prime is 1400456983. The reversal of 1400456940 is 496540041.

It is a super-2 number, since 2×1400456940² = 3922559281588327200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2460976 + ... + 2461544.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 2^1400456940 is an apocalyptic number.

1400456940 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 1400456940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206310400).

1400456940 is an abundant number, since it is smaller than the sum of its proper divisors (3012163860).

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

1400456940 is a wasteful number, since it uses less digits than its factorization.

1400456940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1400456940 is about 37422.6794871773. The cubic root of 1400456940 is about 1118.8106368724.

Adding to 1400456940 its reverse (496540041), we get a palindrome (1896996981).

The spelling of 1400456940 in words is "one billion, four hundred million, four hundred fifty-six thousand, nine hundred forty".