1107802967040 has 1760 divisors, whose sum is σ = 5009348703744. Its totient is φ = 227412541440.

The previous prime is 1107802967003. The next prime is 1107802967041. The reversal of 1107802967040 is 407692087011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is not an unprimeable number, because it can be changed into a prime (1107802967041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3608478567 + ... + 3608478873.

Almost surely, 2^{1107802967040} is an apocalyptic number.

1107802967040 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 1107802967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504674351872).

1107802967040 is an abundant number, since it is smaller than the sum of its proper divisors (3901545736704).

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

1107802967040 is a wasteful number, since it uses less digits than its factorization.

1107802967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1107802967040 in words is "one trillion, one hundred seven billion, eight hundred two million, nine hundred sixty-seven thousand, forty".