4011141310400 has 336 divisors, whose sum is σ = 11784494226240. Its totient is φ = 1314668544000.

The previous prime is 4011141310327. The next prime is 4011141310441. The reversal of 4011141310400 is 40131411104.

It is a super-2 number, since 2×4011141310400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32743664 + ... + 32865936.

Almost surely, 2^{4011141310400} is an apocalyptic number.

4011141310400 is a gapful number since it is divisible by the number (40) 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 4011141310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892247113120).

4011141310400 is an abundant number, since it is smaller than the sum of its proper divisors (7773352915840).

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

4011141310400 is a wasteful number, since it uses less digits than its factorization.

4011141310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122432 (or 122417 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4011141310400 its reverse (40131411104), we get a palindrome (4051272721504).

The spelling of 4011141310400 in words is "four trillion, eleven billion, one hundred forty-one million, three hundred ten thousand, four hundred".