36281881440 has 1152 divisors, whose sum is σ = 159213600000. Its totient is φ = 7485456384.

The previous prime is 36281881409. The next prime is 36281881451. The reversal of 36281881440 is 4418818263.

36281881440 is a `hidden beast` number, since 3 + 6 + 28 + 188 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243502486 + ... + 243502634.

It is an arithmetic number, because the mean of its divisors is an integer number (138206250).

Almost surely, 2^36281881440 is an apocalyptic number.

36281881440 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 36281881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800000).

36281881440 is an abundant number, since it is smaller than the sum of its proper divisors (122931718560).

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

36281881440 is a wasteful number, since it uses less digits than its factorization.

36281881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 36281881440 in words is "thirty-six billion, two hundred eighty-one million, eight hundred eighty-one thousand, four hundred forty".