34158492426240 has 2352 divisors, whose sum is σ = 152258405574528. Its totient is φ = 7199613517824.

The previous prime is 34158492426239. The next prime is 34158492426263. The reversal of 34158492426240 is 4262429485143.

34158492426240 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 8 + 4 + 9 + 2 + 4 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35324190237 + ... + 35324191203.

Almost surely, 2^{34158492426240} is an apocalyptic number.

34158492426240 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 34158492426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76129202787264).

34158492426240 is an abundant number, since it is smaller than the sum of its proper divisors (118099913148288).

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

34158492426240 is an frugal number, since it uses more digits than its factorization.

34158492426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 34158492426240 in words is "thirty-four trillion, one hundred fifty-eight billion, four hundred ninety-two million, four hundred twenty-six thousand, two hundred forty".