1900914090000 has 300 divisors, whose sum is σ = 6476408023536. Its totient is φ = 480228192000.

The previous prime is 1900914089999. The next prime is 1900914090007. The reversal of 1900914090000 is 904190091.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1900914090000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1900914090007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10742239 + ... + 10917761.

Almost surely, 2^{1900914090000} is an apocalyptic number.

1900914090000 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 1900914090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238204011768).

1900914090000 is an abundant number, since it is smaller than the sum of its proper divisors (4575493933536).

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

1900914090000 is a wasteful number, since it uses less digits than its factorization.

1900914090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175592 (or 175552 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 1900914090000 in words is "one trillion, nine hundred billion, nine hundred fourteen million, ninety thousand".