1020140032464 has 360 divisors, whose sum is σ = 3499082383680. Its totient is φ = 275875891200.

The previous prime is 1020140032463. The next prime is 1020140032501. The reversal of 1020140032464 is 4642300410201.

It is a happy number.

1020140032464 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 400 + 3 + 246 + 4 = 666.

It is a super-2 number, since 2×1020140032464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020140032463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182458309 + ... + 182463899.

It is an arithmetic number, because the mean of its divisors is an integer number (9719673288).

Almost surely, 2^{1020140032464} is an apocalyptic number.

1020140032464 is a gapful number since it is divisible by the number (14) 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 1020140032464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749541191840).

1020140032464 is an abundant number, since it is smaller than the sum of its proper divisors (2478942351216).

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

1020140032464 is a wasteful number, since it uses less digits than its factorization.

1020140032464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1020140032464 its reverse (4642300410201), we get a palindrome (5662440442665).

The spelling of 1020140032464 in words is "one trillion, twenty billion, one hundred forty million, thirty-two thousand, four hundred sixty-four".