1022641040 has 80 divisors (see below), whose sum is σ = 2441629440. Its totient is φ = 398146560.

The previous prime is 1022641003. The next prime is 1022641099. The reversal of 1022641040 is 401462201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792716 + ... + 794004.

It is an arithmetic number, because the mean of its divisors is an integer number (30520368).

Almost surely, 2^1022641040 is an apocalyptic number.

1022641040 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 1022641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220814720).

1022641040 is an abundant number, since it is smaller than the sum of its proper divisors (1418988400).

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

1022641040 is a wasteful number, since it uses less digits than its factorization.

1022641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1022641040 is about 31978.7592004443. The cubic root of 1022641040 is about 1007.4907617163.

The spelling of 1022641040 in words is "one billion, twenty-two million, six hundred forty-one thousand, forty".