10514621023440 has 80 divisors (see below), whose sum is σ = 32602177910400. Its totient is φ = 2803309456896.

The previous prime is 10514621023427. The next prime is 10514621023477. The reversal of 10514621023440 is 4432012641501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10514621023440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3460795 + ... + 5745114.

It is an arithmetic number, because the mean of its divisors is an integer number (407527223880).

Almost surely, 2^{10514621023440} is an apocalyptic number.

10514621023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10514621023440 is an abundant number, since it is smaller than the sum of its proper divisors (22087556886960).

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

10514621023440 is a wasteful number, since it uses less digits than its factorization.

10514621023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210684 (or 9210678 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10514621023440 its reverse (4432012641501), we get a palindrome (14946633664941).

The spelling of 10514621023440 in words is "ten trillion, five hundred fourteen billion, six hundred twenty-one million, twenty-three thousand, four hundred forty".