1022925335040 has 1280 divisors, whose sum is σ = 4308707082240. Its totient is φ = 227997794304.

The previous prime is 1022925335011. The next prime is 1022925335059. The reversal of 1022925335040 is 405335292201.

1022925335040 is a `hidden beast` number, since 10 + 2 + 2 + 9 + 253 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1022925334986 and 1022925335004.

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, 1685214417 + ... + 1685215023.

It is an arithmetic number, because the mean of its divisors is an integer number (3366177408).

Almost surely, 2^{1022925335040} is an apocalyptic number.

1022925335040 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 1022925335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154353541120).

1022925335040 is an abundant number, since it is smaller than the sum of its proper divisors (3285781747200).

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

1022925335040 is an frugal number, since it uses more digits than its factorization.

1022925335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1022925335040 in words is "one trillion, twenty-two billion, nine hundred twenty-five million, three hundred thirty-five thousand, forty".