4087746162000 has 1600 divisors, whose sum is σ = 16009868160000. Its totient is φ = 1002618777600.

The previous prime is 4087746161981. The next prime is 4087746162011. The reversal of 4087746162000 is 2616477804.

4087746162000 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 7 + 4 + 616 + 20 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 20541437901 + ... + 20541438099.

It is an arithmetic number, because the mean of its divisors is an integer number (10006167600).

Almost surely, 2^{4087746162000} is an apocalyptic number.

4087746162000 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 4087746162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004934080000).

4087746162000 is an abundant number, since it is smaller than the sum of its proper divisors (11922121998000).

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

4087746162000 is a wasteful number, since it uses less digits than its factorization.

4087746162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4087746162000 in words is "four trillion, eighty-seven billion, seven hundred forty-six million, one hundred sixty-two thousand".