4014242450400 has 576 divisors, whose sum is σ = 16516345886208. Its totient is φ = 824068546560.

The previous prime is 4014242450333. The next prime is 4014242450431. The reversal of 4014242450400 is 40542424104.

It is a super-2 number, since 2×4014242450400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7832419 + ... + 8329181.

It is an arithmetic number, because the mean of its divisors is an integer number (28674211608).

Almost surely, 2^{4014242450400} is an apocalyptic number.

4014242450400 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 4014242450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258172943104).

4014242450400 is an abundant number, since it is smaller than the sum of its proper divisors (12502103435808).

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

4014242450400 is a wasteful number, since it uses less digits than its factorization.

4014242450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496843 (or 496830 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 4014242450400 its reverse (40542424104), we get a palindrome (4054784874504).

The spelling of 4014242450400 in words is "four trillion, fourteen billion, two hundred forty-two million, four hundred fifty thousand, four hundred".