10148401840 has 80 divisors (see below), whose sum is σ = 24073459200. Its totient is φ = 3977266176.

The previous prime is 10148401799. The next prime is 10148401841. The reversal of 10148401840 is 4810484101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10148401840² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10148401841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4531441 + ... + 4533679.

It is an arithmetic number, because the mean of its divisors is an integer number (300918240).

Almost surely, 2^10148401840 is an apocalyptic number.

10148401840 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 10148401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12036729600).

10148401840 is an abundant number, since it is smaller than the sum of its proper divisors (13925057360).

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

10148401840 is a wasteful number, since it uses less digits than its factorization.

10148401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

Adding to 10148401840 its reverse (4810484101), we get a palindrome (14958885941).

The spelling of 10148401840 in words is "ten billion, one hundred forty-eight million, four hundred one thousand, eight hundred forty".