54196309440 has 1792 divisors, whose sum is σ = 255294627840. Its totient is φ = 10642046976.

The previous prime is 54196309399. The next prime is 54196309469. The reversal of 54196309440 is 4490369145.

54196309440 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 630 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×54196309440² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1464765102 + ... + 1464765138.

It is an arithmetic number, because the mean of its divisors is an integer number (142463520).

Almost surely, 2^54196309440 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 54196309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127647313920).

54196309440 is an abundant number, since it is smaller than the sum of its proper divisors (201098318400).

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

54196309440 is a wasteful number, since it uses less digits than its factorization.

54196309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54196309440 in words is "fifty-four billion, one hundred ninety-six million, three hundred nine thousand, four hundred forty".