144040004120040 has 128 divisors (see below), whose sum is σ = 493854128271360. Its totient is φ = 32923250475264.

The previous prime is 144040004120027. The next prime is 144040004120041. The reversal of 144040004120040 is 40021400040441.

It is a happy number.

It is a super-2 number, since 2×144040004120040² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144040004120041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211325467 + ... + 212005973.

It is an arithmetic number, because the mean of its divisors is an integer number (3858235377120).

Almost surely, 2^{144040004120040} is an apocalyptic number.

144040004120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040004120040 is an abundant number, since it is smaller than the sum of its proper divisors (349814124151320).

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

144040004120040 is a wasteful number, since it uses less digits than its factorization.

144040004120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932511 (or 932507 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144040004120040 its reverse (40021400040441), we get a palindrome (184061404160481).

The spelling of 144040004120040 in words is "one hundred forty-four trillion, forty billion, four million, one hundred twenty thousand, forty".