4074650681400 has 576 divisors, whose sum is σ = 16181465882400. Its totient is φ = 943988981760.

The previous prime is 4074650681393. The next prime is 4074650681401. The reversal of 4074650681400 is 41860564704.

4074650681400 is a `hidden beast` number, since 40 + 7 + 465 + 0 + 6 + 8 + 140 + 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 not an unprimeable number, because it can be changed into a prime (4074650681401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10550916 + ... + 10930284.

Almost surely, 2^{4074650681400} is an apocalyptic number.

4074650681400 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 4074650681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090732941200).

4074650681400 is an abundant number, since it is smaller than the sum of its proper divisors (12106815201000).

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

4074650681400 is a wasteful number, since it uses less digits than its factorization.

4074650681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379430 (or 379409 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4074650681400 in words is "four trillion, seventy-four billion, six hundred fifty million, six hundred eighty-one thousand, four hundred".