1421918400 has 336 divisors, whose sum is σ = 5397154560. Its totient is φ = 321024000.

The previous prime is 1421918389. The next prime is 1421918411. The reversal of 1421918400 is 48191241.

It is an interprime number because it is at equal distance from previous prime (1421918389) and next prime (1421918411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3393391 + ... + 3393809.

It is an arithmetic number, because the mean of its divisors is an integer number (16062960).

Almost surely, 2^1421918400 is an apocalyptic number.

1421918400 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 1421918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698577280).

1421918400 is an abundant number, since it is smaller than the sum of its proper divisors (3975236160).

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

1421918400 is a wasteful number, since it uses less digits than its factorization.

1421918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1421918400 is about 37708.3332965009. Note that the first 3 decimals coincide. The cubic root of 1421918400 is about 1124.4968021202.

The spelling of 1421918400 in words is "one billion, four hundred twenty-one million, nine hundred eighteen thousand, four hundred".