10153440000 has 540 divisors, whose sum is σ = 39969761832. Its totient is φ = 2457600000.

The previous prime is 10153439981. The next prime is 10153440023. The reversal of 10153440000 is 4435101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839680 + ... + 15840320.

Almost surely, 2^10153440000 is an apocalyptic number.

10153440000 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 10153440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984880916).

10153440000 is an abundant number, since it is smaller than the sum of its proper divisors (29816321832).

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

10153440000 is an equidigital number, since it uses as much as digits as its factorization.

10153440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10153440000 its reverse (4435101), we get a palindrome (10157875101).

The spelling of 10153440000 in words is "ten billion, one hundred fifty-three million, four hundred forty thousand".