9010032071040 has 3072 divisors, whose sum is σ = 44742364692480. Its totient is φ = 1671553843200.

The previous prime is 9010032071039. The next prime is 9010032071041. The reversal of 9010032071040 is 401702300109.

It is an interprime number because it is at equal distance from previous prime (9010032071039) and next prime (9010032071041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9010032070995 and 9010032071013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9010032071041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4825940187 + ... + 4825942053.

It is an arithmetic number, because the mean of its divisors is an integer number (14564571840).

Almost surely, 2^{9010032071040} is an apocalyptic number.

9010032071040 is a gapful number since it is divisible by the number (90) 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 9010032071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22371182346240).

9010032071040 is an abundant number, since it is smaller than the sum of its proper divisors (35732332621440).

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

9010032071040 is a wasteful number, since it uses less digits than its factorization.

9010032071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 9010032071040 its reverse (401702300109), we get a palindrome (9411734371149).

The spelling of 9010032071040 in words is "nine trillion, ten billion, thirty-two million, seventy-one thousand, forty".