1198140902400 has 264 divisors, whose sum is σ = 4264530722704. Its totient is φ = 294926745600.

The previous prime is 1198140902393. The next prime is 1198140902407. The reversal of 1198140902400 is 42090418911.

It is an interprime number because it is at equal distance from previous prime (1198140902393) and next prime (1198140902407).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1198140902407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 398370 + ... + 1598430.

Almost surely, 2^{1198140902400} is an apocalyptic number.

1198140902400 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 1198140902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132265361352).

1198140902400 is an abundant number, since it is smaller than the sum of its proper divisors (3066389820304).

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

1198140902400 is a wasteful number, since it uses less digits than its factorization.

1198140902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200107 (or 1200084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 1198140902400 in words is "one trillion, one hundred ninety-eight billion, one hundred forty million, nine hundred two thousand, four hundred".