4055294730240 has 1568 divisors, whose sum is σ = 16268951252736. Its totient is φ = 963158999040.

The previous prime is 4055294730211. The next prime is 4055294730259. The reversal of 4055294730240 is 420374925504.

4055294730240 is a `hidden beast` number, since 4 + 0 + 55 + 294 + 7 + 302 + 4 + 0 = 666.

It is a super-2 number, since 2×4055294730240² (a number of 26 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 111 ways as a sum of consecutive naturals, for example, 12033515352 + ... + 12033515688.

Almost surely, 2^{4055294730240} is an apocalyptic number.

4055294730240 is a gapful number since it is divisible by the number (40) 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 4055294730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134475626368).

4055294730240 is an abundant number, since it is smaller than the sum of its proper divisors (12213656522496).

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

4055294730240 is an equidigital number, since it uses as much as digits as its factorization.

4055294730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4055294730240 in words is "four trillion, fifty-five billion, two hundred ninety-four million, seven hundred thirty thousand, two hundred forty".