36405378679440 has 240 divisors, whose sum is σ = 119079457051968. Its totient is φ = 9199221064704.

The previous prime is 36405378679427. The next prime is 36405378679441. The reversal of 36405378679440 is 4497687350463.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (36405378679441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12244782 + ... + 14924658.

Almost surely, 2^{36405378679440} is an apocalyptic number.

36405378679440 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 36405378679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59539728525984).

36405378679440 is an abundant number, since it is smaller than the sum of its proper divisors (82674078372528).

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

36405378679440 is a wasteful number, since it uses less digits than its factorization.

36405378679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680046 (or 2680017 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 36405378679440 in words is "thirty-six trillion, four hundred five billion, three hundred seventy-eight million, six hundred seventy-nine thousand, four hundred forty".