1010590145040 has 640 divisors, whose sum is σ = 3853625352192. Its totient is φ = 213836267520.

The previous prime is 1010590144979. The next prime is 1010590145051. The reversal of 1010590145040 is 405410950101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1010590144989 and 1010590145007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 623435430 + ... + 623437050.

Almost surely, 2^{1010590145040} is an apocalyptic number.

1010590145040 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 1010590145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926812676096).

1010590145040 is an abundant number, since it is smaller than the sum of its proper divisors (2843035207152).

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

1010590145040 is a wasteful number, since it uses less digits than its factorization.

1010590145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 1010590145040 in words is "one trillion, ten billion, five hundred ninety million, one hundred forty-five thousand, forty".