36433135255440 has 480 divisors, whose sum is σ = 144745319813760. Its totient is φ = 7495563264000.

The previous prime is 36433135255421. The next prime is 36433135255453. The reversal of 36433135255440 is 4455253133463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36433135255440.

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, 11671096 + ... + 14459624.

It is an arithmetic number, because the mean of its divisors is an integer number (301552749612).

Almost surely, 2^{36433135255440} is an apocalyptic number.

36433135255440 is a gapful number since it is divisible by the number (30) 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 36433135255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72372659906880).

36433135255440 is an abundant number, since it is smaller than the sum of its proper divisors (108312184558320).

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

36433135255440 is a wasteful number, since it uses less digits than its factorization.

36433135255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788671 (or 2788658 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 36433135255440 in words is "thirty-six trillion, four hundred thirty-three billion, one hundred thirty-five million, two hundred fifty-five thousand, four hundred forty".