153430400000 has 132 divisors (see below), whose sum is σ = 383372165736. Its totient is φ = 61370880000.

The previous prime is 153430399981. The next prime is 153430400003. The reversal of 153430400000 is 4034351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153430400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3176027 + ... + 3223973.

Almost surely, 2^153430400000 is an apocalyptic number.

153430400000 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 153430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191686082868).

153430400000 is an abundant number, since it is smaller than the sum of its proper divisors (229941765736).

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

153430400000 is an frugal number, since it uses more digits than its factorization.

153430400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47992 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 153430400000 its reverse (4034351), we get a palindrome (153434434351).

The spelling of 153430400000 in words is "one hundred fifty-three billion, four hundred thirty million, four hundred thousand".