407699142001152 has 2560 divisors, whose sum is σ = 1344051118080000. Its totient is φ = 108772756291584.

The previous prime is 407699142001147. The next prime is 407699142001189. The reversal of 407699142001152 is 251100241996704.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 407699142001095 and 407699142001104.

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 255 ways as a sum of consecutive naturals, for example, 3210229464513 + ... + 3210229464639.

It is an arithmetic number, because the mean of its divisors is an integer number (525019968000).

Almost surely, 2^{407699142001152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407699142001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672025559040000).

407699142001152 is an abundant number, since it is smaller than the sum of its proper divisors (936351976078848).

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

407699142001152 is a wasteful number, since it uses less digits than its factorization.

407699142001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

Adding to 407699142001152 its reverse (251100241996704), we get a palindrome (658799383997856).

The spelling of 407699142001152 in words is "four hundred seven trillion, six hundred ninety-nine billion, one hundred forty-two million, one thousand, one hundred fifty-two".