11402111214240 has 192 divisors, whose sum is σ = 36288168158592. Its totient is φ = 3009138176000.

The previous prime is 11402111214199. The next prime is 11402111214257. The reversal of 11402111214240 is 4241211120411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11402111214240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113053435 + ... + 113154245.

It is an arithmetic number, because the mean of its divisors is an integer number (189000875826).

Almost surely, 2^{11402111214240} is an apocalyptic number.

11402111214240 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 11402111214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144084079296).

11402111214240 is an abundant number, since it is smaller than the sum of its proper divisors (24886056944352).

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

11402111214240 is a wasteful number, since it uses less digits than its factorization.

11402111214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103263 (or 103255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11402111214240 its reverse (4241211120411), we get a palindrome (15643322334651).

The spelling of 11402111214240 in words is "eleven trillion, four hundred two billion, one hundred eleven million, two hundred fourteen thousand, two hundred forty".