1331114736840 has 384 divisors, whose sum is σ = 4824468034560. Its totient is φ = 287774581248.

The previous prime is 1331114736839. The next prime is 1331114736979. The reversal of 1331114736840 is 486374111331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1331114736792 and 1331114736801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207109707 + ... + 207116133.

It is an arithmetic number, because the mean of its divisors is an integer number (12563718840).

Almost surely, 2^{1331114736840} is an apocalyptic number.

1331114736840 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 1331114736840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412234017280).

1331114736840 is an abundant number, since it is smaller than the sum of its proper divisors (3493353297720).

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

1331114736840 is a wasteful number, since it uses less digits than its factorization.

1331114736840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1331114736840 in words is "one trillion, three hundred thirty-one billion, one hundred fourteen million, seven hundred thirty-six thousand, eight hundred forty".