10240635554464 has 144 divisors (see below), whose sum is σ = 25034959293120. Its totient is φ = 4099289886720.

The previous prime is 10240635554423. The next prime is 10240635554509. The reversal of 10240635554464 is 46445553604201.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305457 + ... + 4535920.

It is an arithmetic number, because the mean of its divisors is an integer number (173853883980).

Almost surely, 2^{10240635554464} is an apocalyptic number.

10240635554464 is a gapful number since it is divisible by the number (14) 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 10240635554464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517479646560).

10240635554464 is an abundant number, since it is smaller than the sum of its proper divisors (14794323738656).

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

10240635554464 is a wasteful number, since it uses less digits than its factorization.

10240635554464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841491 (or 4841476 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 49.

The spelling of 10240635554464 in words is "ten trillion, two hundred forty billion, six hundred thirty-five million, five hundred fifty-four thousand, four hundred sixty-four".