46400006400 has 864 divisors, whose sum is σ = 182001684480. Its totient is φ = 10285056000.

The previous prime is 46400006383. The next prime is 46400006417. The reversal of 46400006400 is 460000464.

It is an interprime number because it is at equal distance from previous prime (46400006383) and next prime (46400006417).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124396614 + ... + 124396986.

Almost surely, 2^46400006400 is an apocalyptic number.

46400006400 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 46400006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91000842240).

46400006400 is an abundant number, since it is smaller than the sum of its proper divisors (135601678080).

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

46400006400 is a wasteful number, since it uses less digits than its factorization.

46400006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 46400006400 its reverse (460000464), we get a palindrome (46860006864).

The spelling of 46400006400 in words is "forty-six billion, four hundred million, six thousand, four hundred".