54340094807040 has 1408 divisors, whose sum is σ = 214862950840320. Its totient is φ = 11438508736512.

The previous prime is 54340094807003. The next prime is 54340094807071. The reversal of 54340094807040 is 4070849004345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63259714131 + ... + 63259714989.

Almost surely, 2^{54340094807040} 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 54340094807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107431475420160).

54340094807040 is an abundant number, since it is smaller than the sum of its proper divisors (160522856033280).

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

54340094807040 is a wasteful number, since it uses less digits than its factorization.

54340094807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 54340094807040 in words is "fifty-four trillion, three hundred forty billion, ninety-four million, eight hundred seven thousand, forty".