4077741507840 has 5184 divisors, whose sum is σ = 21203098914816. Its totient is φ = 700710912000.

The previous prime is 4077741507781. The next prime is 4077741507869. The reversal of 4077741507840 is 487051477704.

4077741507840 is a `hidden beast` number, since 407 + 7 + 7 + 4 + 150 + 7 + 84 + 0 = 666.

It is a super-2 number, since 2×4077741507840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 66848221410 + ... + 66848221470.

Almost surely, 2^{4077741507840} is an apocalyptic number.

4077741507840 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 4077741507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601549457408).

4077741507840 is an abundant number, since it is smaller than the sum of its proper divisors (17125357406976).

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

4077741507840 is a wasteful number, since it uses less digits than its factorization.

4077741507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 54.

The spelling of 4077741507840 in words is "four trillion, seventy-seven billion, seven hundred forty-one million, five hundred seven thousand, eight hundred forty".