33736145040 has 720 divisors, whose sum is σ = 133045555968. Its totient is φ = 7627456512.

The previous prime is 33736144997. The next prime is 33736145041. The reversal of 33736145040 is 4054163733.

33736145040 is a `hidden beast` number, since 3 + 37 + 3 + 614 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×33736145040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33736144986 and 33736145004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33736145041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97222147 + ... + 97222493.

Almost surely, 2^33736145040 is an apocalyptic number.

33736145040 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 33736145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66522777984).

33736145040 is an abundant number, since it is smaller than the sum of its proper divisors (99309410928).

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

33736145040 is a wasteful number, since it uses less digits than its factorization.

33736145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 33736145040 in words is "thirty-three billion, seven hundred thirty-six million, one hundred forty-five thousand, forty".