36401461434 has 96 divisors (see below), whose sum is σ = 87356964240. Its totient is φ = 10882169856.

The previous prime is 36401461433. The next prime is 36401461477. The reversal of 36401461434 is 43416410463.

36401461434 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 1 + 4 + 614 + 34 = 666.

36401461434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26180858025 + 10220603409 = 161805^2 + 101097^2 .

It is not an unprimeable number, because it can be changed into a prime (36401461433) 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, 7001724 + ... + 7006920.

Almost surely, 2^36401461434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36401461434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678482120).

36401461434 is an abundant number, since it is smaller than the sum of its proper divisors (50955502806).

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

36401461434 is a wasteful number, since it uses less digits than its factorization.

36401461434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 36401461434 its reverse (43416410463), we get a palindrome (79817871897).

The spelling of 36401461434 in words is "thirty-six billion, four hundred one million, four hundred sixty-one thousand, four hundred thirty-four".