40282401600 has 1512 divisors, whose sum is σ = 183455633088. Its totient is φ = 8510054400.

The previous prime is 40282401557. The next prime is 40282401637. The reversal of 40282401600 is 610428204.

40282401600 is a `hidden beast` number, since 402 + 8 + 240 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 982497580 + ... + 982497620.

Almost surely, 2^40282401600 is an apocalyptic number.

40282401600 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 40282401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91727816544).

40282401600 is an abundant number, since it is smaller than the sum of its proper divisors (143173231488).

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

40282401600 is a wasteful number, since it uses less digits than its factorization.

40282401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40282401600 its reverse (610428204), we get a palindrome (40892829804).

The spelling of 40282401600 in words is "forty billion, two hundred eighty-two million, four hundred one thousand, six hundred".