34535015150040 has 192 divisors, whose sum is σ = 113698037456640. Its totient is φ = 9089813986560.

The previous prime is 34535015150039. The next prime is 34535015150057. The reversal of 34535015150040 is 4005151053543.

34535015150040 is a `hidden beast` number, since 3 + 4 + 53 + 50 + 1 + 51 + 500 + 4 + 0 = 666.

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 = 34535015149977 and 34535015150004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31218795 + ... + 32306085.

It is an arithmetic number, because the mean of its divisors is an integer number (592177278420).

Almost surely, 2^{34535015150040} is an apocalyptic number.

34535015150040 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 34535015150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56849018728320).

34535015150040 is an abundant number, since it is smaller than the sum of its proper divisors (79163022306600).

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

34535015150040 is a wasteful number, since it uses less digits than its factorization.

34535015150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088454 (or 1088447 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 34535015150040 in words is "thirty-four trillion, five hundred thirty-five billion, fifteen million, one hundred fifty thousand, forty".