1214298086400 has 3960 divisors, whose sum is σ = 5987228868720. Its totient is φ = 240789749760.

The previous prime is 1214298086389. The next prime is 1214298086411. The reversal of 1214298086400 is 46808924121.

1214298086400 is a `hidden beast` number, since 1 + 214 + 29 + 8 + 0 + 8 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1214298086389) and next prime (1214298086411).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 32818867182 + ... + 32818867218.

It is an arithmetic number, because the mean of its divisors is an integer number (1511926482).

Almost surely, 2^{1214298086400} is an apocalyptic number.

1214298086400 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 1214298086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993614434360).

1214298086400 is an abundant number, since it is smaller than the sum of its proper divisors (4772930782320).

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

1214298086400 is a wasteful number, since it uses less digits than its factorization.

1214298086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1214298086400 in words is "one trillion, two hundred fourteen billion, two hundred ninety-eight million, eighty-six thousand, four hundred".