10240401440 has 48 divisors (see below), whose sum is σ = 24287181912. Its totient is φ = 4080205824.

The previous prime is 10240401421. The next prime is 10240401463. The reversal of 10240401440 is 4410404201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9626749456 + 613651984 = 98116^2 + 24772^2 .

It is a super-3 number, since 3×10240401440³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83399 + ... + 165638.

Almost surely, 2^10240401440 is an apocalyptic number.

10240401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240401440 is an abundant number, since it is smaller than the sum of its proper divisors (14046780472).

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

10240401440 is a wasteful number, since it uses less digits than its factorization.

10240401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249309 (or 249301 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10240401440 its reverse (4410404201), we get a palindrome (14650805641).

The spelling of 10240401440 in words is "ten billion, two hundred forty million, four hundred one thousand, four hundred forty".