1141039680 has 448 divisors, whose sum is σ = 4283781120. Its totient is φ = 256481280.

The previous prime is 1141039667. The next prime is 1141039687. The reversal of 1141039680 is 869301411.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1141039687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24277417 + ... + 24277463.

Almost surely, 2^1141039680 is an apocalyptic number.

1141039680 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 1141039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141890560).

1141039680 is an abundant number, since it is smaller than the sum of its proper divisors (3142741440).

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

1141039680 is a wasteful number, since it uses less digits than its factorization.

1141039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1141039680 is about 33779.2788555351. The cubic root of 1141039680 is about 1044.9614020831.

The spelling of 1141039680 in words is "one billion, one hundred forty-one million, thirty-nine thousand, six hundred eighty".