401514054300 has 144 divisors (see below), whose sum is σ = 1291336758880. Its totient is φ = 107025338880.

The previous prime is 401514054299. The next prime is 401514054301. The reversal of 401514054300 is 3450415104.

It is a happy number.

401514054300 is a `hidden beast` number, since 40 + 151 + 40 + 5 + 430 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401514054299) and next prime (401514054301).

It is a super-2 number, since 2×401514054300² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401514054301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6647034 + ... + 6707166.

Almost surely, 2^401514054300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401514054300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645668379440).

401514054300 is an abundant number, since it is smaller than the sum of its proper divisors (889822704580).

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

401514054300 is a wasteful number, since it uses less digits than its factorization.

401514054300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62629 (or 62616 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 401514054300 its reverse (3450415104), we get a palindrome (404964469404).

The spelling of 401514054300 in words is "four hundred one billion, five hundred fourteen million, fifty-four thousand, three hundred".