234798149040 has 1440 divisors, whose sum is σ = 981444612096. Its totient is φ = 46193172480.

The previous prime is 234798149039. The next prime is 234798149041. The reversal of 234798149040 is 40941897432.

It is an interprime number because it is at equal distance from previous prime (234798149039) and next prime (234798149041).

It is a super-3 number, since 3×234798149040³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234798149041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2279593629 + ... + 2279593731.

Almost surely, 2^234798149040 is an apocalyptic number.

234798149040 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 234798149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490722306048).

234798149040 is an abundant number, since it is smaller than the sum of its proper divisors (746646463056).

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

234798149040 is a wasteful number, since it uses less digits than its factorization.

234798149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 234798149040 in words is "two hundred thirty-four billion, seven hundred ninety-eight million, one hundred forty-nine thousand, forty".