5420440126400 has 336 divisors, whose sum is σ = 15240278684736. Its totient is φ = 1879736647680.

The previous prime is 5420440126397. The next prime is 5420440126433. The reversal of 5420440126400 is 46210440245.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172187462 + ... + 172218938.

It is an arithmetic number, because the mean of its divisors is an integer number (45357972276).

Almost surely, 2^{5420440126400} is an apocalyptic number.

5420440126400 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 5420440126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620139342368).

5420440126400 is an abundant number, since it is smaller than the sum of its proper divisors (9819838558336).

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

5420440126400 is a wasteful number, since it uses less digits than its factorization.

5420440126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32016 (or 32001 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 5420440126400 its reverse (46210440245), we get a palindrome (5466650566645).

The spelling of 5420440126400 in words is "five trillion, four hundred twenty billion, four hundred forty million, one hundred twenty-six thousand, four hundred".