1018952901120 has 1280 divisors, whose sum is σ = 4222673731584. Its totient is φ = 203489280000.

The previous prime is 1018952901097. The next prime is 1018952901149. The reversal of 1018952901120 is 211092598101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1695428820 + ... + 1695429420.

Almost surely, 2^{1018952901120} is an apocalyptic number.

1018952901120 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 1018952901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111336865792).

1018952901120 is an abundant number, since it is smaller than the sum of its proper divisors (3203720830464).

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

1018952901120 is a wasteful number, since it uses less digits than its factorization.

1018952901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 39.

The spelling of 1018952901120 in words is "one trillion, eighteen billion, nine hundred fifty-two million, nine hundred one thousand, one hundred twenty".