406042011648 has 1536 divisors, whose sum is σ = 1620283392000. Its totient is φ = 97462517760.

The previous prime is 406042011619. The next prime is 406042011649. The reversal of 406042011648 is 846110240604.

It is a happy number.

406042011648 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 4 + 2 + 0 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406042011649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2963810236 + ... + 2963810372.

It is an arithmetic number, because the mean of its divisors is an integer number (1054872000).

Almost surely, 2^406042011648 is an apocalyptic number.

406042011648 is a gapful number since it is divisible by the number (48) 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 406042011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810141696000).

406042011648 is an abundant number, since it is smaller than the sum of its proper divisors (1214241380352).

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

406042011648 is a wasteful number, since it uses less digits than its factorization.

406042011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 406042011648 in words is "four hundred six billion, forty-two million, eleven thousand, six hundred forty-eight".