10249288544040 has 1536 divisors, whose sum is σ = 43066075852800. Its totient is φ = 1922137620480.

The previous prime is 10249288543979. The next prime is 10249288544087. The reversal of 10249288544040 is 4044588294201.

10249288544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14098058157 + ... + 14098058883.

It is an arithmetic number, because the mean of its divisors is an integer number (28037809800).

Almost surely, 2^{10249288544040} is an apocalyptic number.

10249288544040 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 10249288544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533037926400).

10249288544040 is an abundant number, since it is smaller than the sum of its proper divisors (32816787308760).

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

10249288544040 is a wasteful number, since it uses less digits than its factorization.

10249288544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 10249288544040 in words is "ten trillion, two hundred forty-nine billion, two hundred eighty-eight million, five hundred forty-four thousand, forty".