36435207040 has 64 divisors (see below), whose sum is σ = 87486978960. Its totient is φ = 14509821952.

The previous prime is 36435207019. The next prime is 36435207043. The reversal of 36435207040 is 4070253463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 36435206987 and 36435207005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36435207043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19884 + ... + 270676.

Almost surely, 2^36435207040 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 36435207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43743489480).

36435207040 is an abundant number, since it is smaller than the sum of its proper divisors (51051771920).

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

36435207040 is a wasteful number, since it uses less digits than its factorization.

36435207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251039 (or 251027 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The spelling of 36435207040 in words is "thirty-six billion, four hundred thirty-five million, two hundred seven thousand, forty".