40460060400 has 120 divisors (see below), whose sum is σ = 130076024304. Its totient is φ = 10750310400.

The previous prime is 40460060371. The next prime is 40460060441. The reversal of 40460060400 is 406006404.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271540 + ... + 393260.

Almost surely, 2^40460060400 is an apocalyptic number.

40460060400 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 40460060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65038012152).

40460060400 is an abundant number, since it is smaller than the sum of its proper divisors (89615963904).

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

40460060400 is a wasteful number, since it uses less digits than its factorization.

40460060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122019 (or 122008 counting only the distinct ones).

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

Adding to 40460060400 its reverse (406006404), we get a palindrome (40866066804).

The spelling of 40460060400 in words is "forty billion, four hundred sixty million, sixty thousand, four hundred".