36294157247040 has 672 divisors, whose sum is σ = 155668247504640. Its totient is φ = 7540306329600.

The previous prime is 36294157247009. The next prime is 36294157247057. The reversal of 36294157247040 is 4074275149263.

36294157247040 is a `hidden beast` number, since 3 + 6 + 2 + 94 + 15 + 72 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700666770 + ... + 1700688110.

Almost surely, 2^{36294157247040} is an apocalyptic number.

36294157247040 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 36294157247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77834123752320).

36294157247040 is an abundant number, since it is smaller than the sum of its proper divisors (119374090257600).

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

36294157247040 is a wasteful number, since it uses less digits than its factorization.

36294157247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29051 (or 29038 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 36294157247040 in words is "thirty-six trillion, two hundred ninety-four billion, one hundred fifty-seven million, two hundred forty-seven thousand, forty".