1801416120 has 128 divisors (see below), whose sum is σ = 6444887040. Its totient is φ = 393845760.

The previous prime is 1801416119. The next prime is 1801416121. The reversal of 1801416120 is 216141081.

It is an interprime number because it is at equal distance from previous prime (1801416119) and next prime (1801416121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801416121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27301 + ... + 65940.

It is an arithmetic number, because the mean of its divisors is an integer number (50350680).

Almost surely, 2^1801416120 is an apocalyptic number.

1801416120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1801416120 is an abundant number, since it is smaller than the sum of its proper divisors (4643470920).

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

1801416120 is a wasteful number, since it uses less digits than its factorization.

1801416120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93285 (or 93281 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1801416120 is about 42443.0927242584. The cubic root of 1801416120 is about 1216.7593202307.

The spelling of 1801416120 in words is "one billion, eight hundred one million, four hundred sixteen thousand, one hundred twenty".