34140505440 has 96 divisors (see below), whose sum is σ = 109571779296. Its totient is φ = 8932352000.

The previous prime is 34140505429. The next prime is 34140505447. The reversal of 34140505440 is 4450504143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34140505440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34140505398 and 34140505407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140505447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645561 + ... + 696440.

It is an arithmetic number, because the mean of its divisors is an integer number (1141372701).

Almost surely, 2^34140505440 is an apocalyptic number.

34140505440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34140505440 is an abundant number, since it is smaller than the sum of its proper divisors (75431273856).

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

34140505440 is a wasteful number, since it uses less digits than its factorization.

34140505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342072 (or 1342064 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 34140505440 in words is "thirty-four billion, one hundred forty million, five hundred five thousand, four hundred forty".