54020441400 has 96 divisors (see below), whose sum is σ = 167571201840. Its totient is φ = 14396175360.

The previous prime is 54020441393. The next prime is 54020441411. The reversal of 54020441400 is 414402045.

It is a happy number.

54020441400 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930012 + ... + 986388.

Almost surely, 2^54020441400 is an apocalyptic number.

54020441400 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 54020441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83785600920).

54020441400 is an abundant number, since it is smaller than the sum of its proper divisors (113550760440).

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

54020441400 is a wasteful number, since it uses less digits than its factorization.

54020441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57993 (or 57984 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 54020441400 its reverse (414402045), we get a palindrome (54434843445).

The spelling of 54020441400 in words is "fifty-four billion, twenty million, four hundred forty-one thousand, four hundred".