11420807063400 has 1536 divisors, whose sum is σ = 50407059456000. Its totient is φ = 2313719562240.

The previous prime is 11420807063363. The next prime is 11420807063429. The reversal of 11420807063400 is 436070802411.

11420807063400 is a `hidden beast` number, since 1 + 14 + 2 + 0 + 8 + 0 + 7 + 0 + 634 + 0 + 0 = 666.

11420807063400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2112223497 + ... + 2112228903.

It is an arithmetic number, because the mean of its divisors is an integer number (32817096000).

Almost surely, 2^{11420807063400} is an apocalyptic number.

11420807063400 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 11420807063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25203529728000).

11420807063400 is an abundant number, since it is smaller than the sum of its proper divisors (38986252392600).

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

11420807063400 is a wasteful number, since it uses less digits than its factorization.

11420807063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 11420807063400 its reverse (436070802411), we get a palindrome (11856877865811).

The spelling of 11420807063400 in words is "eleven trillion, four hundred twenty billion, eight hundred seven million, sixty-three thousand, four hundred".