1199102264640 has 336 divisors, whose sum is σ = 4715872866432. Its totient is φ = 273949175808.

The previous prime is 1199102264513. The next prime is 1199102264651. The reversal of 1199102264640 is 464622019911.

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 (45).

It is a congruent number.

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, 45689602 + ... + 45715838.

It is an arithmetic number, because the mean of its divisors is an integer number (14035335912).

Almost surely, 2^{1199102264640} is an apocalyptic number.

1199102264640 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 1199102264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357936433216).

1199102264640 is an abundant number, since it is smaller than the sum of its proper divisors (3516770601792).

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

1199102264640 is a wasteful number, since it uses less digits than its factorization.

1199102264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28534 (or 28521 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1199102264640 in words is "one trillion, one hundred ninety-nine billion, one hundred two million, two hundred sixty-four thousand, six hundred forty".