34154371440 has 320 divisors, whose sum is σ = 138084971520. Its totient is φ = 7595596800.

The previous prime is 34154371439. The next prime is 34154371457. The reversal of 34154371440 is 4417345143.

34154371440 is a `hidden beast` number, since 3 + 4 + 1 + 543 + 71 + 4 + 40 = 666.

It is a super-2 number, since 2×34154371440² (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 = 34154371395 and 34154371404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528915 + ... + 589965.

It is an arithmetic number, because the mean of its divisors is an integer number (431515536).

Almost surely, 2^34154371440 is an apocalyptic number.

34154371440 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 34154371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69042485760).

34154371440 is an abundant number, since it is smaller than the sum of its proper divisors (103930600080).

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

34154371440 is a wasteful number, since it uses less digits than its factorization.

34154371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61117 (or 61105 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34154371440 in words is "thirty-four billion, one hundred fifty-four million, three hundred seventy-one thousand, four hundred forty".