4087711061400 has 192 divisors, whose sum is σ = 12921081703200. Its totient is φ = 1068653813760.

The previous prime is 4087711061339. The next prime is 4087711061407. The reversal of 4087711061400 is 41601177804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087711061407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41195046 + ... + 41294154.

Almost surely, 2^{4087711061400} is an apocalyptic number.

4087711061400 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 4087711061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460540851600).

4087711061400 is an abundant number, since it is smaller than the sum of its proper divisors (8833370641800).

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

4087711061400 is a wasteful number, since it uses less digits than its factorization.

4087711061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100478 (or 100469 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 4087711061400 in words is "four trillion, eighty-seven billion, seven hundred eleven million, sixty-one thousand, four hundred".