10211418785400 has 384 divisors, whose sum is σ = 37758189035520. Its totient is φ = 2232106145280.

The previous prime is 10211418785317. The next prime is 10211418785489. The reversal of 10211418785400 is 458781411201.

It is a super-2 number, since 2×10211418785400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744102939 + ... + 744116661.

It is an arithmetic number, because the mean of its divisors is an integer number (98328617280).

Almost surely, 2^{10211418785400} is an apocalyptic number.

10211418785400 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 10211418785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879094517760).

10211418785400 is an abundant number, since it is smaller than the sum of its proper divisors (27546770250120).

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

10211418785400 is a wasteful number, since it uses less digits than its factorization.

10211418785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21475 (or 21466 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 10211418785400 in words is "ten trillion, two hundred eleven billion, four hundred eighteen million, seven hundred eighty-five thousand, four hundred".