29134909440 has 1040 divisors, whose sum is σ = 129209158848. Its totient is φ = 6115295232.

The previous prime is 29134909429. The next prime is 29134909457. The reversal of 29134909440 is 4490943192.

29134909440 is a `hidden beast` number, since 2 + 91 + 34 + 90 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×29134909440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150957984 + ... + 150958176.

Almost surely, 2^29134909440 is an apocalyptic number.

29134909440 is a gapful number since it is divisible by the number (20) 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 29134909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64604579424).

29134909440 is an abundant number, since it is smaller than the sum of its proper divisors (100074249408).

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

29134909440 is a wasteful number, since it uses less digits than its factorization.

29134909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29134909440 in words is "twenty-nine billion, one hundred thirty-four million, nine hundred nine thousand, four hundred forty".