54026223229440 has 2400 divisors, whose sum is σ = 244939899093120. Its totient is φ = 11140427612160.

The previous prime is 54026223229423. The next prime is 54026223229493. The reversal of 54026223229440 is 4492232262045.

It is a happy number.

54026223229440 is a `hidden beast` number, since 5 + 40 + 262 + 23 + 2 + 294 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24413113774 + ... + 24413115986.

Almost surely, 2^{54026223229440} 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 54026223229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122469949546560).

54026223229440 is an abundant number, since it is smaller than the sum of its proper divisors (190913675863680).

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

54026223229440 is a wasteful number, since it uses less digits than its factorization.

54026223229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 54026223229440 in words is "fifty-four trillion, twenty-six billion, two hundred twenty-three million, two hundred twenty-nine thousand, four hundred forty".