1901128320 has 960 divisors, whose sum is σ = 8672970240. Its totient is φ = 388177920.

The previous prime is 1901128279. The next prime is 1901128337. The reversal of 1901128320 is 238211091.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1901128320² = 7228577778212044800, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 61326705 + ... + 61326735.

It is an arithmetic number, because the mean of its divisors is an integer number (9034344).

Almost surely, 2^1901128320 is an apocalyptic number.

1901128320 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 1901128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336485120).

1901128320 is an abundant number, since it is smaller than the sum of its proper divisors (6771841920).

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

1901128320 is a wasteful number, since it uses less digits than its factorization.

1901128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1901128320 is about 43601.9302325023. The cubic root of 1901128320 is about 1238.8074556133.

The spelling of 1901128320 in words is "one billion, nine hundred one million, one hundred twenty-eight thousand, three hundred twenty".