1900709038016 has 112 divisors (see below), whose sum is σ = 4011611788800. Its totient is φ = 891573906432.

The previous prime is 1900709038009. The next prime is 1900709038021. The reversal of 1900709038016 is 6108309070091.

It is a super-2 number, since 2×1900709038016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38101346 + ... + 38151198.

It is an arithmetic number, because the mean of its divisors is an integer number (35817962400).

Almost surely, 2^{1900709038016} is an apocalyptic number.

1900709038016 is a gapful number since it is divisible by the number (16) 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 1900709038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005805894400).

1900709038016 is an abundant number, since it is smaller than the sum of its proper divisors (2110902750784).

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

1900709038016 is a wasteful number, since it uses less digits than its factorization.

1900709038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50386 (or 50376 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 1900709038016 in words is "one trillion, nine hundred billion, seven hundred nine million, thirty-eight thousand, sixteen".