1020324695040 has 2112 divisors, whose sum is σ = 4494811115520. Its totient is φ = 218494402560.

The previous prime is 1020324695029. The next prime is 1020324695069. The reversal of 1020324695040 is 405964230201.

It is a happy number.

1020324695040 is a `hidden beast` number, since 102 + 0 + 3 + 2 + 46 + 9 + 504 + 0 = 666.

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 = 1020324694986 and 1020324695004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9029422024 + ... + 9029422136.

It is an arithmetic number, because the mean of its divisors is an integer number (2128224960).

Almost surely, 2^{1020324695040} is an apocalyptic number.

1020324695040 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 1020324695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247405557760).

1020324695040 is an abundant number, since it is smaller than the sum of its proper divisors (3474486420480).

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

1020324695040 is a wasteful number, since it uses less digits than its factorization.

1020324695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1020324695040 in words is "one trillion, twenty billion, three hundred twenty-four million, six hundred ninety-five thousand, forty".