5401405030400 has 114 divisors (see below), whose sum is σ = 13395475178430. Its totient is φ = 2160559390720.

The previous prime is 5401405030369. The next prime is 5401405030409. The reversal of 5401405030400 is 40305041045.

It can be written as a sum of positive squares in 3 ways, for example, as 719755411456 + 4681649618944 = 848384^2 + 2163712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5401405030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401405030409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6141506 + ... + 6965694.

Almost surely, 2^{5401405030400} is an apocalyptic number.

5401405030400 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 5401405030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697737589215).

5401405030400 is an abundant number, since it is smaller than the sum of its proper divisors (7994070148030).

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

5401405030400 is an frugal number, since it uses more digits than its factorization.

5401405030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824235 (or 824196 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 5401405030400 in words is "five trillion, four hundred one billion, four hundred five million, thirty thousand, four hundred".