1000948190640 has 160 divisors (see below), whose sum is σ = 3148310923776. Its totient is φ = 263020584960.

The previous prime is 1000948190639. The next prime is 1000948190653. The reversal of 1000948190640 is 460918490001.

It is a junction number, because it is equal to n+sod(n) for n = 1000948190592 and 1000948190601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34355119 + ... + 34384241.

Almost surely, 2^{1000948190640} is an apocalyptic number.

1000948190640 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 1000948190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574155461888).

1000948190640 is an abundant number, since it is smaller than the sum of its proper divisors (2147362733136).

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

1000948190640 is a wasteful number, since it uses less digits than its factorization.

1000948190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31227 (or 31221 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 1000948190640 in words is "one trillion, nine hundred forty-eight million, one hundred ninety thousand, six hundred forty".