201407109120 has 1152 divisors, whose sum is σ = 856284549120. Its totient is φ = 44431441920.

The previous prime is 201407109109. The next prime is 201407109131. The reversal of 201407109120 is 21901704102.

It is an interprime number because it is at equal distance from previous prime (201407109109) and next prime (201407109131).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539965254 + ... + 539965626.

It is an arithmetic number, because the mean of its divisors is an integer number (743302560).

Almost surely, 2^201407109120 is an apocalyptic number.

201407109120 is a gapful number since it is divisible by the number (20) 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 201407109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428142274560).

201407109120 is an abundant number, since it is smaller than the sum of its proper divisors (654877440000).

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

201407109120 is an equidigital number, since it uses as much as digits as its factorization.

201407109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 201407109120 in words is "two hundred one billion, four hundred seven million, one hundred nine thousand, one hundred twenty".