10148221440 has 720 divisors, whose sum is σ = 41753008440. Its totient is φ = 2270822400.

The previous prime is 10148221399. The next prime is 10148221471. The reversal of 10148221440 is 4412284101.

It can be written as a sum of positive squares in 4 ways, for example, as 9041727744 + 1106493696 = 95088^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100477390 + ... + 100477490.

Almost surely, 2^10148221440 is an apocalyptic number.

10148221440 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 10148221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876504220).

10148221440 is an abundant number, since it is smaller than the sum of its proper divisors (31604787000).

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

10148221440 is a wasteful number, since it uses less digits than its factorization.

10148221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10148221440 in words is "ten billion, one hundred forty-eight million, two hundred twenty-one thousand, four hundred forty".