364040040000 has 2240 divisors, whose sum is σ = 1641279822336. Its totient is φ = 69009408000.

The previous prime is 364040039917. The next prime is 364040040073. The reversal of 364040040000 is 40040463.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×364040040000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6868679974 + ... + 6868680026.

Almost surely, 2^364040040000 is an apocalyptic number.

364040040000 is a gapful number since it is divisible by the number (30) 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 364040040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820639911168).

364040040000 is an abundant number, since it is smaller than the sum of its proper divisors (1277239782336).

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

364040040000 is a wasteful number, since it uses less digits than its factorization.

364040040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 364040040000 its reverse (40040463), we get a palindrome (364080080463).

The spelling of 364040040000 in words is "three hundred sixty-four billion, forty million, forty thousand".