1040400599040 has 480 divisors, whose sum is σ = 4068164580480. Its totient is φ = 252216115200.

The previous prime is 1040400599023. The next prime is 1040400599041. The reversal of 1040400599040 is 409950040401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1040400599040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1040400598986 and 1040400599004.

It is not an unprimeable number, because it can be changed into a prime (1040400599041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9066825 + ... + 9180855.

It is an arithmetic number, because the mean of its divisors is an integer number (8475342876).

Almost surely, 2^{1040400599040} is an apocalyptic number.

1040400599040 is a gapful number since it is divisible by the number (10) 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 1040400599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034082290240).

1040400599040 is an abundant number, since it is smaller than the sum of its proper divisors (3027763981440).

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

1040400599040 is a wasteful number, since it uses less digits than its factorization.

1040400599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114081 (or 114052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1040400599040 in words is "one trillion, forty billion, four hundred million, five hundred ninety-nine thousand, forty".