4004217607040 has 128 divisors (see below), whose sum is σ = 10945202224320. Its totient is φ = 1372233646080.

The previous prime is 4004217606997. The next prime is 4004217607067. The reversal of 4004217607040 is 407067124004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437870 + ... + 9853010.

Almost surely, 2^{4004217607040} is an apocalyptic number.

4004217607040 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 4004217607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472601112160).

4004217607040 is an abundant number, since it is smaller than the sum of its proper divisors (6940984617280).

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

4004217607040 is a wasteful number, since it uses less digits than its factorization.

4004217607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417320 (or 417308 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 4004217607040 in words is "four trillion, four billion, two hundred seventeen million, six hundred seven thousand, forty".