541414454400 has 768 divisors, whose sum is σ = 2153195520000. Its totient is φ = 132353740800.

The previous prime is 541414454359. The next prime is 541414454429. The reversal of 541414454400 is 4454414145.

541414454400 is a `hidden beast` number, since 54 + 14 + 144 + 54 + 400 = 666.

It is a super-2 number, since 2×541414454400² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 50884281 + ... + 50894919.

It is an arithmetic number, because the mean of its divisors is an integer number (2803640000).

Almost surely, 2^541414454400 is an apocalyptic number.

541414454400 is a gapful number since it is divisible by the number (50) 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 541414454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076597760000).

541414454400 is an abundant number, since it is smaller than the sum of its proper divisors (1611781065600).

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

541414454400 is a wasteful number, since it uses less digits than its factorization.

541414454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 541414454400 its reverse (4454414145), we get a palindrome (545868868545).

The spelling of 541414454400 in words is "five hundred forty-one billion, four hundred fourteen million, four hundred fifty-four thousand, four hundred".