40428011520 has 1024 divisors, whose sum is σ = 167350176000. Its totient is φ = 9172942848.

The previous prime is 40428011497. The next prime is 40428011537. The reversal of 40428011520 is 2511082404.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×40428011520² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092648942 + ... + 1092648978.

Almost surely, 2^40428011520 is an apocalyptic number.

40428011520 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 40428011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675088000).

40428011520 is an abundant number, since it is smaller than the sum of its proper divisors (126922164480).

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

40428011520 is a wasteful number, since it uses less digits than its factorization.

40428011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 40428011520 its reverse (2511082404), we get a palindrome (42939093924).

The spelling of 40428011520 in words is "forty billion, four hundred twenty-eight million, eleven thousand, five hundred twenty".