10457211149140 has 24 divisors (see below), whose sum is σ = 25097306758272. Its totient is φ = 3585329536800.

The previous prime is 10457211149089. The next prime is 10457211149191. The reversal of 10457211149140 is 4194111275401.

It is an interprime number because it is at equal distance from previous prime (10457211149089) and next prime (10457211149191).

It is a junction number, because it is equal to n+sod(n) for n = 10457211149093 and 10457211149102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37347182536 + ... + 37347182815.

It is an arithmetic number, because the mean of its divisors is an integer number (1045721114928).

Almost surely, 2^{10457211149140} is an apocalyptic number.

10457211149140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457211149140 is an abundant number, since it is smaller than the sum of its proper divisors (14640095609132).

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

10457211149140 is a wasteful number, since it uses less digits than its factorization.

10457211149140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74694365367 (or 74694365365 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 10457211149140 in words is "ten trillion, four hundred fifty-seven billion, two hundred eleven million, one hundred forty-nine thousand, one hundred forty".