901442061000 has 2048 divisors, whose sum is σ = 3773952000000. Its totient is φ = 197000294400.

The previous prime is 901442060999. The next prime is 901442061041. The reversal of 901442061000 is 160244109.

901442061000 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 42 + 0 + 610 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11410658961 + ... + 11410659039.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750000).

Almost surely, 2^901442061000 is an apocalyptic number.

901442061000 is a gapful number since it is divisible by the number (90) 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 901442061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000000).

901442061000 is an abundant number, since it is smaller than the sum of its proper divisors (2872509939000).

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

901442061000 is a wasteful number, since it uses less digits than its factorization.

901442061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 901442061000 in words is "nine hundred one billion, four hundred forty-two million, sixty-one thousand".