1234140000 has 240 divisors, whose sum is σ = 4122030528. Its totient is φ = 323136000.

The previous prime is 1234139987. The next prime is 1234140071. The reversal of 1234140000 is 414321.

1234140000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4019847 + ... + 4020153.

Almost surely, 2^1234140000 is an apocalyptic number.

1234140000 is a gapful number since it is divisible by the number (10) 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 1234140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061015264).

1234140000 is an abundant number, since it is smaller than the sum of its proper divisors (2887890528).

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

1234140000 is an equidigital number, since it uses as much as digits as its factorization.

1234140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1234140000 is about 35130.3287772830. The cubic root of 1234140000 is about 1072.6420283433.

Adding to 1234140000 its reverse (414321), we get a palindrome (1234554321).

The spelling of 1234140000 in words is "one billion, two hundred thirty-four million, one hundred forty thousand".