40322154400 has 144 divisors (see below), whose sum is σ = 108989586720. Its totient is φ = 14443545600.

The previous prime is 40322154349. The next prime is 40322154419. The reversal of 40322154400 is 445122304.

It is a happy number.

40322154400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40322154400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555406 + ... + 623794.

It is an arithmetic number, because the mean of its divisors is an integer number (756872130).

Almost surely, 2^40322154400 is an apocalyptic number.

40322154400 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 40322154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54494793360).

40322154400 is an abundant number, since it is smaller than the sum of its proper divisors (68667432320).

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

40322154400 is a wasteful number, since it uses less digits than its factorization.

40322154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68487 (or 68474 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 40322154400 its reverse (445122304), we get a palindrome (40767276704).

The spelling of 40322154400 in words is "forty billion, three hundred twenty-two million, one hundred fifty-four thousand, four hundred".