4077136654794 has 864 divisors, whose sum is σ = 11938682036736. Its totient is φ = 999293137920.

The previous prime is 4077136654769. The next prime is 4077136654853. The reversal of 4077136654794 is 4974566317704.

It is a happy number.

4077136654794 is a `hidden beast` number, since 4 + 0 + 7 + 71 + 36 + 65 + 479 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11109363999 + ... + 11109364365.

It is an arithmetic number, because the mean of its divisors is an integer number (13817919024).

Almost surely, 2^{4077136654794} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077136654794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969341018368).

4077136654794 is an abundant number, since it is smaller than the sum of its proper divisors (7861545381942).

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

4077136654794 is a wasteful number, since it uses less digits than its factorization.

4077136654794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4077136654794 in words is "four trillion, seventy-seven billion, one hundred thirty-six million, six hundred fifty-four thousand, seven hundred ninety-four".