4074701189760 has 640 divisors, whose sum is σ = 15660251853840. Its totient is φ = 1005891747840.

The previous prime is 4074701189759. The next prime is 4074701189789. The reversal of 4074701189760 is 679811074704.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1658964608064 + 2415736581696 = 1288008^2 + 1554264^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4074701189697 and 4074701189706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53720182 + ... + 53795978.

Almost surely, 2^{4074701189760} is an apocalyptic number.

4074701189760 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 4074701189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830125926920).

4074701189760 is an abundant number, since it is smaller than the sum of its proper divisors (11585550664080).

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

4074701189760 is a wasteful number, since it uses less digits than its factorization.

4074701189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75906 (or 75885 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

It can be divided in two parts, 407470118 and 9760, that added together give a triangular number (407479878 = T₂₈₅₄₇).

The spelling of 4074701189760 in words is "four trillion, seventy-four billion, seven hundred one million, one hundred eighty-nine thousand, seven hundred sixty".