10476132311040 has 1792 divisors, whose sum is σ = 40766146560000. Its totient is φ = 2267189084160.

The previous prime is 10476132311027. The next prime is 10476132311077. The reversal of 10476132311040 is 4011323167401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10476132310992 and 10476132311010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52643880861 + ... + 52643881059.

Almost surely, 2^{10476132311040} is an apocalyptic number.

10476132311040 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 10476132311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383073280000).

10476132311040 is an abundant number, since it is smaller than the sum of its proper divisors (30290014248960).

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

10476132311040 is a wasteful number, since it uses less digits than its factorization.

10476132311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 10476132311040 its reverse (4011323167401), we get a palindrome (14487455478441).

The spelling of 10476132311040 in words is "ten trillion, four hundred seventy-six billion, one hundred thirty-two million, three hundred eleven thousand, forty".