10211214311040 has 256 divisors, whose sum is σ = 34266947328000. Its totient is φ = 2579250843648.

The previous prime is 10211214311029. The next prime is 10211214311047. The reversal of 10211214311040 is 4011341211201.

10211214311040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10211214310998 and 10211214311016.

It is not an unprimeable number, because it can be changed into a prime (10211214311047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262891941 + ... + 262930779.

It is an arithmetic number, because the mean of its divisors is an integer number (133855263000).

Almost surely, 2^{10211214311040} is an apocalyptic number.

10211214311040 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 10211214311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133473664000).

10211214311040 is an abundant number, since it is smaller than the sum of its proper divisors (24055733016960).

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

10211214311040 is a wasteful number, since it uses less digits than its factorization.

10211214311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46087 (or 46075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10211214311040 its reverse (4011341211201), we get a palindrome (14222555522241).

The spelling of 10211214311040 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, three hundred eleven thousand, forty".