1020407591850 has 96 divisors (see below), whose sum is σ = 2562486990336. Its totient is φ = 268697534400.

The previous prime is 1020407591839. The next prime is 1020407591891. The reversal of 1020407591850 is 581957040201.

It is a super-3 number, since 3×1020407591850³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4889337 + ... + 5093763.

It is an arithmetic number, because the mean of its divisors is an integer number (26692572816).

Almost surely, 2^{1020407591850} is an apocalyptic number.

1020407591850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020407591850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281243495168).

1020407591850 is an abundant number, since it is smaller than the sum of its proper divisors (1542079398486).

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

1020407591850 is a wasteful number, since it uses less digits than its factorization.

1020407591850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204860 (or 204855 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 1020407591850 in words is "one trillion, twenty billion, four hundred seven million, five hundred ninety-one thousand, eight hundred fifty".