34144501440 has 168 divisors, whose sum is σ = 126108360432. Its totient is φ = 7804446720.

The previous prime is 34144501427. The next prime is 34144501453. The reversal of 34144501440 is 4410544143.

It is an interprime number because it is at equal distance from previous prime (34144501427) and next prime (34144501453).

It is a tau number, because it is divible by the number of its divisors (168).

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 = 34144501398 and 34144501407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315891 + ... + 409970.

Almost surely, 2^34144501440 is an apocalyptic number.

34144501440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34144501440 is an abundant number, since it is smaller than the sum of its proper divisors (91963858992).

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

34144501440 is a wasteful number, since it uses less digits than its factorization.

34144501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725895 (or 725878 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 34144501440 in words is "thirty-four billion, one hundred forty-four million, five hundred one thousand, four hundred forty".