1009900920042 has 144 divisors (see below), whose sum is σ = 2657469522240. Its totient is φ = 275848239744.

The previous prime is 1009900920029. The next prime is 1009900920043. The reversal of 1009900920042 is 2400290099001.

1009900920042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1009900919979 and 1009900920006.

It is not an unprimeable number, because it can be changed into a prime (1009900920043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40417509 + ... + 40442487.

It is an arithmetic number, because the mean of its divisors is an integer number (18454649460).

Almost surely, 2^{1009900920042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009900920042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328734761120).

1009900920042 is an abundant number, since it is smaller than the sum of its proper divisors (1647568602198).

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

1009900920042 is a wasteful number, since it uses less digits than its factorization.

1009900920042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017 (or 27007 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1009900920042 in words is "one trillion, nine billion, nine hundred million, nine hundred twenty thousand, forty-two".