36141114429440 has 416 divisors, whose sum is σ = 92990566722816. Its totient is φ = 13449266462720.

The previous prime is 36141114429389. The next prime is 36141114429461. The reversal of 36141114429440 is 4492441114163.

It is a junction number, because it is equal to n+sod(n) for n = 36141114429391 and 36141114429400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6701483384 + ... + 6701488776.

Almost surely, 2^{36141114429440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36141114429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46495283361408).

36141114429440 is an abundant number, since it is smaller than the sum of its proper divisors (56849452293376).

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

36141114429440 is a wasteful number, since it uses less digits than its factorization.

36141114429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 36141114429440 in words is "thirty-six trillion, one hundred forty-one billion, one hundred fourteen million, four hundred twenty-nine thousand, four hundred forty".