1101942240 has 384 divisors, whose sum is σ = 4287790080. Its totient is φ = 232243200.

The previous prime is 1101942211. The next prime is 1101942269. The reversal of 1101942240 is 422491011.

It is an interprime number because it is at equal distance from previous prime (1101942211) and next prime (1101942269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1101942240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617230 + ... + 2617650.

It is an arithmetic number, because the mean of its divisors is an integer number (11166120).

Almost surely, 2^1101942240 is an apocalyptic number.

1101942240 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 1101942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143895040).

1101942240 is an abundant number, since it is smaller than the sum of its proper divisors (3185847840).

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

1101942240 is a wasteful number, since it uses less digits than its factorization.

1101942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1101942240 is about 33195.5153597591. The cubic root of 1101942240 is about 1032.8873145071.

The spelling of 1101942240 in words is "one billion, one hundred one million, nine hundred forty-two thousand, two hundred forty".