1402214400 has 432 divisors, whose sum is σ = 5346923400. Its totient is φ = 349962240.

The previous prime is 1402214399. The next prime is 1402214423. The reversal of 1402214400 is 44122041.

1402214400 is a `hidden beast` number, since 1 + 4 + 0 + 221 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7833511 + ... + 7833689.

Almost surely, 2^1402214400 is an apocalyptic number.

1402214400 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 1402214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673461700).

1402214400 is an abundant number, since it is smaller than the sum of its proper divisors (3944709000).

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

1402214400 is a wasteful number, since it uses less digits than its factorization.

1402214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1402214400 is about 37446.1533404968. The cubic root of 1402214400 is about 1119.2784468082.

Adding to 1402214400 its reverse (44122041), we get a palindrome (1446336441).

The spelling of 1402214400 in words is "one billion, four hundred two million, two hundred fourteen thousand, four hundred".