1098036612400 has 480 divisors, whose sum is σ = 3381821549568. Its totient is φ = 333327052800.

The previous prime is 1098036612263. The next prime is 1098036612461. The reversal of 1098036612400 is 42166308901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95617059 + ... + 95628541.

Almost surely, 2^{1098036612400} is an apocalyptic number.

1098036612400 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 1098036612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690910774784).

1098036612400 is an abundant number, since it is smaller than the sum of its proper divisors (2283784937168).

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

1098036612400 is a wasteful number, since it uses less digits than its factorization.

1098036612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 1098036612400 in words is "one trillion, ninety-eight billion, thirty-six million, six hundred twelve thousand, four hundred".